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Krantz, Steven George

Author ID: krantz.steven-george Recent zbMATH articles by "Krantz, Steven George"
Published as: Krantz, Steven G.; Krantz, S. G.; Krantz, Steven; Krantz, Steven George
Homepage: https://www.math.wustl.edu/~sk/
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
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Co-Authors

178 single-authored
20 Kim, Kang-Tae
19 Greene, Robert Everist
16 Li, Songying
15 Peloso, Marco Maria
12 Isaev, Alexander
12 Parks, Harold R.
7 Ma, Daowei
7 Rao, Arni S. R. Srinivasa
6 Chen, Goong
5 Fontana, Luigi
5 Fu, Siqi
4 Chang, Der-Chen E.
3 Bedford, Eric
3 Blank, Brian E.
3 Chen, Ming-Chieh
3 Cima, Joseph A.
3 Daghighi, Abtin
3 D’Angelo, John P.
3 Gavosto, Estela Ana
3 Guo, Tiexin
3 Huang, Xiaojun
3 Osserman, Robert
3 Rochberg, Richard
3 Scully, Matthew M.
3 Sergeev, Alexey V.
3 Stoppato, Caterina
3 Wang, Junmin
3 Wei, Chunqiu
3 Wójcicki, Paweł Marian
3 Yang, Jing
3 Yao, Pengfei
2 Alladi, Krishnaswami
2 Aron, Richard Martin
2 Bott, Raoul Harry
2 Byun, Jisoo
2 Dao, Nguyen Anh
2 Di Biase, Fausto
2 Douglas, Ronald George
2 Earle, Clifford J.
2 Fornæss, John Erik
2 Fridman, Buma L.
2 Hejhal, Dennis A.
2 Huang, Jingtong Kaya
2 Jørgensen, Troels
2 Jorgenson, Jay Alan
2 Kahane, Jean-Pierre
2 Marden, Albert
2 Min, Baili
2 Munao, Simone
2 Nathanson, Melvyn Bernard
2 Parsons, Torrence D.
2 Sadowski, Jacek Józef
2 Sawyer, Eric T.
2 Stein, Elias Menachem
2 Treil, Sergei
2 Zynda, Tomasz Lukasz
1 Agarwal, Ravi P.
1 Aladro, Gerardo
1 Alon, Noga
1 Atiyah, Michael Francis
1 Bar-Natan, Dror
1 Beckner, William
1 Bell, Steven R.
1 Bland, John S.
1 Brown, Johnny E.
1 Burns, Daniel M. jun.
1 Buzzard, Gregery T.
1 Casazza, Peter George
1 Cattaneo, Alberto Sergio
1 Chen, Liwei
1 Chen, Zhenhua
1 Cheung, Wingsum
1 Chuaqui, Martin
1 Coates, John Henry
1 Coleman, Matthew P.
1 Dafni, Galia
1 Dovbush, Peter V.
1 Duesberg, Peter
1 Duncan, John
1 Erdős, Pál
1 Ewing, John Harwood
1 Fan, Dashan
1 Fefferman, Charles Louis
1 Ferguson, Tim
1 Garcia, Stephan Ramon
1 Gaussier, Hervé
1 Gehring, Frederick William
1 Gerver, Joseph L.
1 Gifford, James A.
1 Godsil, Christopher David
1 Goldberg, Lisa A.
1 Goldfeld, Dorian Morris
1 Goldston, Daniel Alan
1 Goodwillie, Thomas Gehret
1 Graham, Ian R.
1 Graham, Ronald Lewis
1 Greenberg, Marvin Jay
1 Han, Yongsheng
1 Hintikka, Eric A.
1 Hirzebruch, Friedrich
...and 96 more Co-Authors
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Serials

20 Complex Variables and Elliptic Equations
16 Journal of Mathematical Analysis and Applications
16 Textbooks in Mathematics
12 Rocky Mountain Journal of Mathematics
12 The Journal of Geometric Analysis
12 Notices of the American Mathematical Society
10 American Mathematical Monthly
8 Real Analysis Exchange
8 Complex Analysis and Operator Theory
7 Illinois Journal of Mathematics
7 Complex Variables. Theory and Application
6 Michigan Mathematical Journal
5 Duke Mathematical Journal
5 Indiana University Mathematics Journal
5 Manuscripta Mathematica
5 Expositiones Mathematicae
4 Journal of the Korean Mathematical Society
4 Pacific Journal of Mathematics
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 The Dolciani Mathematical Expositions
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Bulletin of the Korean Mathematical Society
3 Mathematical Research Letters
3 The Carus Mathematical Monographs
3 Contemporary Mathematics
3 Proceedings of Symposia in Pure Mathematics
2 Houston Journal of Mathematics
2 Mathematics Magazine
2 Advances in Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Bulletin of the American Mathematical Society. New Series
2 Graduate Studies in Mathematics
2 Lecture Notes in Mathematics
2 Cornerstones
1 Journal d’Analyse Mathématique
1 Studia Mathematica
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Commentarii Mathematici Helvetici
1 Integral Equations and Operator Theory
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Quaestiones Mathematicae
1 European Journal of Combinatorics
1 Journal of Symbolic Computation
1 Journal of the American Mathematical Society
1 Bulletin of the Allahabad Mathematical Society
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 Experimental Mathematics
1 Georgian Mathematical Journal
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 The Asian Journal of Mathematics
1 Missouri Journal of Mathematical Sciences
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Mediterranean Journal of Mathematics
1 Bulletin of the American Mathematical Society
1 Basler Lehrbücher
1 Fields Institute Communications
1 Graduate Texts in Mathematics
1 Mathematical Sciences Research Institute Publications
1 Progress in Mathematics
1 Regional Conference Series in Mathematics
1 Leituras em Matemática
1 Electronic Research Announcements in Mathematical Sciences
1 Synthesis Lectures on Mathematics & Statistics
1 Journal of Theoretical Biology
1 International Journal of Analysis and Applications
1 Complex Analysis and its Synergies
1 Modern Birkhäuser Classics
1 Applied and Numerical Harmonic Analysis
1 Springer Monographs in Mathematics
1 Contemporary Mathematicians
1 Birkhäuser Advanced Texts. Basler Lehrbücher
1 MAA Textbooks
1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
1 MAA Spectrum
1 European Mathematical Society Magazine
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Fields

185 Several complex variables and analytic spaces (32-XX)
60 Functions of a complex variable (30-XX)
40 General and overarching topics; collections (00-XX)
32 Partial differential equations (35-XX)
29 History and biography (01-XX)
27 Real functions (26-XX)
27 Functional analysis (46-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
14 Operator theory (47-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Potential theory (31-XX)
8 Differential geometry (53-XX)
8 General topology (54-XX)
8 Mathematics education (97-XX)
7 Mathematical logic and foundations (03-XX)
6 Measure and integration (28-XX)
6 Ordinary differential equations (34-XX)
6 Biology and other natural sciences (92-XX)
5 Abstract harmonic analysis (43-XX)
5 Geometry (51-XX)
5 Computer science (68-XX)
4 Integral equations (45-XX)
4 Convex and discrete geometry (52-XX)
4 Manifolds and cell complexes (57-XX)
3 Number theory (11-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 Combinatorics (05-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
2 Topological groups, Lie groups (22-XX)
2 Approximations and expansions (41-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-XX)
2 Mechanics of deformable solids (74-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

226 Publications have been cited 3,365 times in 2,580 Documents Cited by Year
A primer of real analytic functions. 2nd ed. Zbl 1015.26030
Krantz, Steven G.; Parks, Harold R.
230
2002
Function theory of several complex variables. Zbl 0471.32008
Krantz, Steven G.
216
1982
Function theory of several complex variables. Reprint of the 1992 2nd ed. with corrections. Zbl 1087.32001
Krantz, Steven G.
203
2001
Function theory of several complex variables. 2. ed. Zbl 0776.32001
Krantz, Steven G.
162
1992
The implicit function theorem. History, theory, and applications. Zbl 1012.58003
Krantz, Steven G.; Parks, Harold R.
137
2002
Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary. Zbl 0807.32008
Burns, Daniel M.; Krantz, Steven G.
113
1994
A primer of real analytic functions. Zbl 0767.26001
Krantz, Steven; Parks, Harold R.
94
1992
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
80
2008
\(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems. Zbl 0804.35027
Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M.
78
1993
Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel. Zbl 0504.32016
Greene, Robert E.; Krantz, Steven G.
64
1982
Distance to \(C^k\) hypersurfaces. Zbl 0431.57009
Krantz, Steven G.; Parks, Harold R.
64
1981
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
63
2009
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I. Zbl 0990.47042
Krantz, Steven G.; Li, Song-Ying
58
2001
Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II. Zbl 0990.47043
Krantz, Steven G.; Li, Song-Ying
58
2001
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
51
2013
Lipschitz spaces, smoothness of functions, and approximation theory. Zbl 0518.46018
Krantz, Steven G.
47
1983
Domains with non-compact automorphism group: a survey. Zbl 1040.32019
Isaev, A. V.; Krantz, S. G.
46
1999
The geometry of domains in space. Zbl 0929.26001
Krantz, Steven G.; Parks, Harold R.
46
1999
Handbook of complex variables. Zbl 0946.30001
Krantz, Steven G.
45
1999
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
42
2006
Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains. Zbl 0303.35059
Krantz, S. G.
40
1976
The Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
38
2011
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
38
2006
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
35
2008
A criterion for normality in \(\mathbb{C}^ n\). Zbl 0749.32001
Aladro, Gerardo; Krantz, Steven G.
33
1991
The Lindelöf principle and normal functions of several complex variables. Zbl 0522.32003
Cima, Joseph A.; Krantz, Steven G.
28
1983
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
27
2013
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
26
2011
The automorphism groups of strongly pseudoconvex domains. Zbl 0531.32016
Greene, Robert E.; Krantz, Steven G.
25
1982
Fractional integration on Hardy spaces. Zbl 0504.47034
Krantz, Steven G.
23
1982
On a problem of Moser. Zbl 0846.32010
Huang, Xiaojun; Krantz, Steven G.
23
1995
Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \({\mathbb{C}}^ n\). Zbl 0835.32004
Krantz, Steven G.; Li, Song-Ying
23
1995
Bloch functions on strongly pseudoconvex domains. Zbl 0628.32006
Krantz, Steven G.; Ma, Daowei
22
1988
On the automorphism groups of hyperbolic manifolds. Zbl 0974.32018
Isaev, Alexander V.; Krantz, Steven G.
22
2001
Analysis, designs, and behaviour of dissipative joints for coupled beams. Zbl 0685.73046
Chen, G.; Krantz, S. G.; Russel, D. L.; Wayne, C. E.; West, H. H.; Coleman, M. P.
20
1989
On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications. Zbl 0886.32003
Krantz, Steven G.; Li, Song-Ying
20
1995
Smoothness to the boundary of conformal maps. Zbl 0626.30005
Bell, Steven R.; Krantz, Steven G.
19
1987
Compactness of the \(\bar \partial\)-Neumann operator. Zbl 0736.35071
Krantz, Steven G.
19
1988
Complex scaling and domains with non-compact automorphism group. Zbl 1065.32014
Kim, Kang-Tae; Krantz, Steven G.
19
2001
Hardy spaces and elliptic boundary value problems. Zbl 0765.42014
Chang, Der-Chen; Krantz, Steven G.; Stein, Elias M.
18
1992
A panorama of harmonic analysis. Zbl 0947.42001
Krantz, Steven G.
18
1999
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
17
2009
A note on the Wong-Rosay theorem in complex manifolds. Zbl 1044.32019
Gaussier, Hervé; Kim, Kang-Tae; Krantz, Steven G.
17
2002
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
17
2008
Techniques for studying automorphisms of weakly pseudoconvex domains. Zbl 0779.32017
Greene, Robert E.; Krantz, Steven G.
16
1993
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
16
2005
Invariant metrics and the boundary behavior of holomorphic functions on domains in \({\mathbb{C}}^ n\). Zbl 0728.32002
Krantz, Steven G.
16
1991
Partial differential equations and complex analysis. Zbl 0852.35001
Krantz, Steven George; Gavosto, Estela A.; Peloso, Marco M.
16
1992
Biholomorphic self-maps of domains. Zbl 0625.32024
Greene, Robert E.; Krantz, Steven G.
15
1987
Lipschitz spaces on stratified groups. Zbl 0529.22006
Krantz, Steven
15
1982
Characterization of complex manifolds by the isotropy subgroups of their automorphism groups. Zbl 0622.32020
Greene, Robert E.; Krantz, Steven G.
15
1985
Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups. Zbl 0428.41004
Krantz, Steven G.
15
1979
A unique continuation problem for holomorphic mappings. Zbl 0781.32018
Huang, Xiaojun; Krantz, Steven G.
15
1993
\(L^p\) regularity of the Bergman projection on domains covered by the polydisc. Zbl 1457.32003
Chen, Liwei; Krantz, Steven G.; Yuan, Yuan
15
2020
Stability properties of the Bergman kernel and curvature properties of bounded domains. Zbl 0483.32014
Greene, R. E.; Krantz, Steven G.
14
1981
Invariants of Bergman geometry and the automorphism groups of domains in \({\mathbb{C}^n}\). Zbl 0997.32012
Greene, R. E.; Krantz, S. G.
14
1991
Area integral characterizations of functions in Hardy spaces on domains in \(\mathbb{C}^ n\). Zbl 0887.32002
Krantz, Steven G.; Li, Song-Ying
13
1997
Intrinsic Lipschitz classes on manifolds with applications to complex function theory and estimates for the \(\overline\partial\) and \(\overline\partial_b\) equations. Zbl 0382.32012
Krantz, Steven G.
13
1978
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
13
2016
Complex analysis: the geometric viewpoint. Zbl 0743.30002
Krantz, Steven G.
12
1990
Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection. Zbl 0456.32004
Krantz, Steven G.
12
1980
Stability of the Caratheodory and Kobayashi metrics and applications to biholomorphic mappings. Zbl 0533.32011
Greene, Robert E.; Krantz, Steven G.
11
1984
A Hopf lemma for holomorphic functions and applications. Zbl 0837.30019
Huang, Xiaojun; Krantz, S. G.; Ma, D.; Pan, Y.
11
1995
Normal families and the semicontinuity of isometry and automorphism groups. Zbl 0584.58014
Greene, Robert E.; Krantz, Steven G.
11
1985
The boundary behavior of the Kobayashi metric. Zbl 0760.32010
Krantz, Steven G.
11
1992
A note on Hardy spaces and functions of bounded mean oscillation on domains in \(\mathbb{C}^ n\). Zbl 0802.32013
Krantz, Steven G.; Li, Song-Ying
11
1994
On the Bergman invariant and curvatures of the Bergman metric. Zbl 0855.32008
Krantz, Steven G.; Yu, Jiye
11
1996
Characterizations of certain weakly pseudoconvex domains with non-compact automorphism groups. Zbl 0626.32023
Greene, Robert E.; Krantz, Steven G.
10
1987
Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001
Krantz, Steven G.
10
2004
Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. Zbl 0401.43004
Krantz, Steven G.
10
1979
Geometric analysis and function spaces. Expository lectures from the NSF- CBMS regional conference held at George Mason University, Fairfax, VA (USA), May 26-31, 1992. Zbl 0783.32001
Krantz, Steven G.
10
1993
Optimal \(L^ p\) estimates for the \(\bar \partial\)-equation on complex ellipsoids in \(\mathbb{C}^ n\). Zbl 0789.32011
Chen, Zhenhua; Krantz, Steven G.; Ma, Daowei
10
1993
A characterization of generalized complex ellipsoids in \(\mathbb{C}^ n\) and related results. Zbl 0782.32027
Krantz, Steven G.
9
1992
Reinhardt domains with non-compact automorphism groups. Zbl 0866.32001
Fu, Siqi; Isaev, A. V.; Krantz, Steven G.
9
1996
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
9
2006
On the vector sum of two convex sets in space. Zbl 0728.52003
Krantz, Steven G.; Parks, Harold R.
9
1991
The Kobayashi metric of a complex ellipsoid in \(\mathbb{C}^ 2\). Zbl 0783.32012
Blank, Brian E.; Fan, Dashan; Klein, David; Krantz, Steven G.; Ma, Daowei; Pang, Myung-Yull
9
1992
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
9
2008
Harmonic and complex analysis in several variables. Zbl 1414.32001
Krantz, Steven G.
9
2017
On fixed points and determining sets for holomorphic automorphisms. Zbl 1026.32042
Fridman, B. L.; Kim, K. T.; Krantz, S. G.; Ma, D.
9
2002
New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310
Krantz, Steven G.; Peloso, Marco M.
8
2008
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
8
2008
Characterization of the Hilbert ball by its automorphism group. Zbl 1007.32002
Kim, Kang-Tae; Krantz, Steven G.
8
2002
Structure and interpolation theorems for certain Lipschitz spaces and estimates for the \(\overline\partial\) equation. Zbl 0357.46037
Krantz, Steven G.
8
1976
Some new results on domains in complex space with non-compact automorphism group. Zbl 1035.32019
Kim, Kang-Tae; Krantz, Steven G.
8
2003
Antisocial subcovers of self-centered coverings. Zbl 0631.52013
Krantz, Steven G.; Parsons, T. D.
7
1986
Nonlinear conditions for differentiability of functions. Zbl 0632.58008
Duncan, John; Krantz, Steven G.; Parks, Harold R.
7
1985
A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications. Zbl 0518.32009
Cima, Joseph A.; Krantz, Steven G.; Suffridge, Ted J.
7
1984
Characterization of smooth domains in C by their biholomorphic self-maps. Zbl 0524.30007
Krantz, Steven G.
7
1983
The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces. Zbl 0903.47019
Krantz, Steven G.; Li, Song-Ying; Rochberg, Richard
7
1997
Function theory of one complex variable. 2nd ed. Zbl 0988.30001
Greene, Robert E.; Krantz, Steven G.
7
2002
Asymptotic eigenfrequency distributions for the \(N\)-beam Euler-Bernoulli coupled beam equation with dissipative joints. Zbl 0746.35025
Krantz, Steven G.; Paulsen, William H.
7
1991
On the boundary orbit accumulation set for a domain with noncompact automorphism group. Zbl 0879.32016
Isaev, A. V.; Krantz, S. G.
7
1996
Toeplitz operators and related function algebras on certain pseudo-convex domains. Zbl 0371.47029
Jewell, Nicholas P.; Krantz, Steven G.
7
1979
Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018
Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria
7
2018
The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012
Krantz, Steven G.
6
2012
On the dimensions of the automorphism groups of hyperbolic Reinhardt domains. Zbl 0968.32001
Gifford, J. A.; Isaev, A. V.; Krantz, S. G.
6
2000
A matter of gravity. Zbl 1045.51007
Krantz, Steven G.
6
2003
A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002
Kim, Kang-Tae; Krantz, Steven G.
6
2009
Fatou theorems on domains in \({\mathbb{C}}^ n\). Zbl 0614.32007
Krantz, Steven G.
6
1987
Animal shapes, modal analysis, and visualization of motion. I: Horse and camel. Zbl 1520.92009
Chen, Goong; Huang, Jingtong; Wei, Chunqiu; Yang, Jing; Scully, Matthew M.; Sergeev, Alexey; Chen, Ming-Chieh; Krantz, Steven G.; Yao, Pengfei; Guo, Tiexin; Wang, Junmin
2
2023
Animal shapes, modal analysis, and visualization of motion. II: Dynamics and Fourier decomposition. Zbl 1519.92018
Chen, Goong; Wei, Chunqiu; Sergeev, Alexey; Yang, Jing; Huang, Jingtong Kaya; Scully, Matthew M.; Chen, Ming-Chieh; Krantz, Steven G.; Yao, Pengfei; Guo, Tiexin; Wang, Junmin
1
2023
Irregularity of the Bergman projection on smooth unbounded worm domains. Zbl 1517.32006
Krantz, Steven G.; Monguzzi, Alessandro; Peloso, Marco M.; Stoppato, Caterina
1
2023
Mathematical analysis and topology of SARS-CoV-2, bonding with cells and unbonding. Zbl 1501.37087
Rao, Arni S. R. Srinivasa; Krantz, Steven G.
1
2022
Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type. Zbl 1457.42027
Dao, Nguyen Anh; Krantz, Steven G.
5
2021
Some remarks on \(L^1\) embeddings in the subelliptic setting. Zbl 1465.46033
Krantz, Steven G.; Peloso, Marco M.; Spector, Daniel
3
2021
A calculus approach to complex variables. Zbl 1505.30033
Krantz, Steven G.
2
2021
On an invariant distance induced by the Szegő kernel. Zbl 1487.32027
Krantz, Steven G.; Wójcicki, Paweł M.
1
2021
Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions. Zbl 1477.32013
Di Biase, Fausto; Krantz, Steven G.
1
2021
Cauchy integral commutators and Hardy factorization on Lorentz spaces. Zbl 1459.42018
Dao, Nguyen Anh; Krantz, Steven G.; Lam, Nguyen
1
2021
\(L^p\) regularity of the Bergman projection on domains covered by the polydisc. Zbl 1457.32003
Chen, Liwei; Krantz, Steven G.; Yuan, Yuan
15
2020
True epidemic growth construction through harmonic analysis. Zbl 1437.92124
Krantz, Steven G.; Polyakov, Peter; Rao, Arni S. R. Srinivasa
4
2020
Differential equations. A modern approach with wavelets. Zbl 1454.34001
Krantz, Steven G.
1
2020
Approximation by holomorphic functions of several complex variables. Zbl 1457.32028
Krantz, Steven G.; Min, Baili
1
2020
Applications of Bergman representative coordinates. Zbl 1442.32003
Krantz, Steven G.
1
2020
The Besicovitch covering lemma and maximal functions. Zbl 1418.42030
Krantz, Steven G.
3
2019
Canonical kernels versus constructible kernels. Zbl 1429.30016
Krantz, Steven G.
2
2019
Completeness on the worm domain and the Müntz-Szász problem for the Bergman space. Zbl 1421.32012
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
2
2019
Complex variables. A physical approach with applications. 2nd edition. Zbl 1410.30001
Krantz, Steven G.
1
2019
The Fefferman-Szegő metric and applications. Zbl 1417.32014
Krantz, Steven G.
1
2019
Geometric analysis on the Diederich-Fornæss index. Zbl 1400.32018
Krantz, Steven George; Liu, Bingyuan; Peloso, Marco Maria
7
2018
On a theorem of F. Forelli and a result of Hartogs. Zbl 1387.32003
Krantz, Steven G.
4
2018
Uniqueness properties of Hardy space functions. Zbl 1393.32003
Krantz, Steven G.
1
2018
Semicontinuity of automorphism groups: the converse direction. Zbl 1398.32030
Krantz, Steven G.
1
2018
Uniqueness properties of harmonic functions. Zbl 1398.31003
Krantz, Steven G.
1
2018
Harmonic and complex analysis in several variables. Zbl 1414.32001
Krantz, Steven G.
9
2017
The weighted Bergman kernel and the Green’s function. Zbl 1361.30096
Krantz, Steven; Wójcicki, Paweł M.
3
2017
A primer of mathematical writing. Being a disquisition on having your ideas recorded, typeset, published, read, and appreciated. 2nd edition. Zbl 1390.00064
Krantz, Steven G.
2
2017
Bergman kernel and projection on the unbounded Diederich-Fornaess worm domain. Zbl 1377.32003
Krantz, Steven G.; Peloso, Marco M.; Stoppato, Caterina
13
2016
The Greene-Krantz conjecture in dimension two. Zbl 1405.32026
Krantz, Steven G.
2
2016
Local maximum modulus property for polyanalytic functions. Zbl 1332.30070
Daghighi, Abtin; Krantz, Steven G.
2
2016
The theory and practice of conformal geometry. Zbl 1349.30002
Krantz, Steven G.
1
2016
Erratum: A note on a conjecture concerning boundary uniqueness. Zbl 1403.30014
Daghighi, Abtin; Krantz, Steven
1
2016
Convex analysis. Zbl 1310.26001
Krantz, Steven G.
4
2015
Reflections on Paul Erdős on his birth centenary. Zbl 1338.01020
Lóvasz, László; Sós, Vera T.; Graham, Ronald L.; Spencer, Joel; Kahane, Jean-Pierre; Nathanson, Melvyn B.
3
2015
How to teach mathematics. 3rd edition. Zbl 1338.97006
Krantz, Steven G.
2
2015
Smoothness to the boundary of biholomoprhic mappings: an overview. Zbl 1345.32016
Krantz, Steven G.
2
2015
A note on a conjecture concerning boundary uniqueness. Zbl 1319.30027
Daghighi, Abtin; Krantz, Steven G.
1
2015
A direct connection between the Bergman and Szegő projections. Zbl 1297.32005
Krantz, Steven G.
5
2014
The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012. Zbl 1297.30004
3
2014
The Corona problem in several complex variables. Zbl 1317.32004
Krantz, Steven G.
2
2014
A history of the Corona problem. Zbl 1317.30082
Douglas, Ronald G.; Krantz, Steven G.; Sawyer, Eric T.; Treil, Sergei; Wicks, Brett D.
1
2014
The impact of the theorem of Bun Wong and Rosay. Zbl 1290.32019
Krantz, Steven G.
1
2014
Real analysis and foundations. 3rd ed. Zbl 1278.26001
Krantz, Steven G.
1
2014
The implicit function theorem. History, theory, and applications. Reprint of the 2003 hardback edition. Zbl 1269.58003
Krantz, Steven G.; Parks, Harold R.
51
2013
Geometric analysis of the Bergman kernel and metric. Zbl 1281.32004
Krantz, Steven G.
27
2013
The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems. Zbl 1277.32014
Royden, Halsey; Wong, Pit-Mann; Krantz, Steven G.
5
2013
Semicontinuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case. Zbl 1271.32021
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.; Seo, Aeryeong
4
2013
The automorphism groups of domains in complex space: a survey. Zbl 1274.32001
Krantz, Steven G.
4
2013
A guide to functional analysis. Zbl 1271.46001
Krantz, Steven G.
1
2013
On limits of sequences of holomorphic functions. Zbl 1294.30011
Krantz, Steven G.
1
2013
The Kobayashi metric, extremal discs, and biholomorphic mappings. Zbl 1246.32012
Krantz, Steven G.
6
2012
The automorphism group of a domain with an exponentially flat boundary point. Zbl 1227.32031
Krantz, Steven G.
2
2012
Geometric properties of boundary orbit accumulation points. Zbl 1247.32020
Krantz, Steven G.
1
2012
The elements of advanced mathematics. 3rd ed. Zbl 1243.03001
Krantz, Steven G.
1
2012
The Schwarz lemma at the boundary. Zbl 1227.30023
Krantz, Steven G.
38
2011
The geometry of complex domains. Zbl 1239.32011
Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
26
2011
The proof is in the pudding. The changing nature of mathematical proof. Zbl 1318.00005
Krantz, Steven G.
5
2011
Convergence of automorphisms and semicontinuity of automorphism groups. Zbl 1271.32018
Krantz, Steven G.
3
2011
Boundary decomposition of the Bergman kernel. Zbl 1226.30006
Krantz, Steven G.
2
2011
Convexity in real analysis. Zbl 1246.26010
Krantz, Steven G.
1
2011
Normed domains of holomorphy. Zbl 1196.32009
Krantz, Steven G.
4
2010
On a construction of L. Hua for positive reproducing kernels. Zbl 1197.32002
Krantz, Steven G.
2
2010
Essentials of topology with applications. Zbl 1178.54001
Krantz, Steven G.
2
2010
The corona problem with two pieces of data. Zbl 1204.32004
Krantz, Steven G.
2
2010
On the iterated logarithmic Bloch space on the unit ball. Zbl 1221.47056
Krantz, Steven G.; Stević, Stevo
63
2009
Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Zbl 1171.43001
Krantz, Steven G.
17
2009
A Kobayashi metric version of Bun Wong’s theorem. Zbl 1172.32002
Kim, Kang-Tae; Krantz, Steven G.
6
2009
An ontology of directional regularity implying joint regularity. Zbl 1186.26008
Krantz, Steven G.
2
2009
A guide to topology. Zbl 1170.54001
Krantz, Steven G.
1
2009
Geometric integration theory. Zbl 1149.28001
Krantz, Steven G.; Parks, Harold R.
80
2008
The Bergman kernel and projection on non-smooth worm domains. Zbl 1161.32016
Krantz, Steven G.; Peloso, Marco M.
35
2008
Analysis and geometry on worm domains. Zbl 1147.32020
Krantz, Steven G.; Peloso, Marco M.
17
2008
Complex scaling and geometric analysis of several variables. Zbl 1156.32001
Kim, Kang-Tae; Krantz, Steven G.
9
2008
New results on the Bergman kernel of the worm domain in complex space. Zbl 1140.32310
Krantz, Steven G.; Peloso, Marco M.
8
2008
A guide to complex variables. Zbl 1147.30001
Krantz, Steven G.
8
2008
The Carathéodory and Kobayashi metrics and applications in complex analyis. Zbl 1177.30060
Krantz, Steven G.
5
2008
A tale of three kernels. Zbl 1157.32005
Krantz, Steven G.
3
2008
Pseudoconvexity, analytic discs and invariant metrics. Zbl 1162.32007
Krantz, Steven G.
3
2008
The Hartogs extension phenomenon redux. Zbl 1140.32007
Krantz, Steven G.
1
2008
On functions in \(p\)-adic \(BMO\) and the distribution of prime integers. Zbl 1119.46029
Krantz, Steven G.
4
2007
The Lindelöf principle in several complex variables. Zbl 1109.32006
Krantz, Steven G.
3
2007
The Carathéodory-Cartan-Kaup-Wu theorem on an infinite-dimensional Hilbert space. Zbl 1143.46024
Cima, Joseph A.; Graham, Ian; Kim, Kang Tae; Krantz, Steven G.
3
2007
A tribute to Professor william f. ames on his 80th birthday. Zbl 1151.01322
Agarwal, Ravi P.; Krantz, Steven G.
2
2007
The boundary behavior of holomorphic functions: global and local results. Zbl 1141.32002
Krantz, Steven G.
2
2007
How to write your first paper. Zbl 1145.00301
Krantz, Steven G.
1
2007
Function theory of one complex variable. 3rd ed. Zbl 1114.30001
Greene, Robert E.; Krantz, Steven G.
42
2006
Geometric function theory. Explorations in complex analysis. Zbl 1086.30001
Krantz, Steven G.
38
2006
Geometric characterizations of centroids of simplices. Zbl 1089.52009
Krantz, Steven G.; McCarthy, John E.; Parks, Harold R.
9
2006
On determining sets for holomorphic automorphisms. Zbl 1144.32012
Fridman, B. L.; Kim, K.-T.; Krantz, S. G.; Ma, D.
4
2006
Calculus. Multivariable. Zbl 1098.26002
Blank, Brian E.; Krantz, Steven G.
1
2006
Calculation and estimation of the Poisson kernel. Zbl 1060.31004
Krantz, Steven G.
16
2005
Analytic polyhedra in \(\mathbb C^2\) with a non-compact automorphism group. Zbl 1062.32020
Kim, Kang-Tae; Krantz, Steven G.; Spiro, Andrea F.
4
2005
The automorphism groups of domains. Zbl 1138.32302
Kim, Kang-Tae; Krantz, Steven G.
2
2005
Mathematical apocrypha redux. More stories and anecdotes of mathematicians and the mathematical. Zbl 1082.00002
Krantz, Steven G.
2
2005
Real analysis and foundations. 2nd ed. Zbl 1056.26001
Krantz, Steven G.
2
2005
Two results on uniqueness of conformal mappings. Zbl 1083.30010
Krantz, Steven G.
2
2005
Mathematical publishing. A guidebook. Zbl 1084.00004
Krantz, Steven G.
1
2005
Complex analysis: the geometric viewpoint. 2nd ed. Zbl 1051.30001
Krantz, Steven G.
10
2004
Creating more convergent series. Zbl 1044.40001
Krantz, Steven G.; McNeal, Jeffery D.
1
2004
...and 126 more Documents
all top 5

Cited by 3,021 Authors

107 Krantz, Steven George
28 Kim, Kang-Tae
23 Örnek, Bülent Nafi
23 Stević, Stevo
19 Yang, Dachun
16 Tu, Zhenhan
15 Liu, Taishun
14 Shoikhet, David
13 Li, Songying
13 Peloso, Marco Maria
12 Chang, Der-Chen E.
12 Dovbush, Peter V.
12 Isaev, Alexander
11 Chen, Shaolin
11 de la Llave, Rafael
11 Duong, Xuan Thinh
11 Huang, Xiaojun
11 Lee, Kang-Hyurk
11 Ninh Văn Thu
11 Verma, Kaushal
11 Yang, Sibei
11 Zimmer, Andrew M.
10 Byun, Jisoo
10 Gaussier, Hervé
10 Ha, Ly Kim
10 Tang, Xiaomin
9 Chakrabarti, Debraj
9 Fridman, Buma L.
9 Giga, Yoshikazu
9 Lebl, Jiří
9 Ma, Daowei
9 Noell, Alan V.
9 Peralta-Salas, Daniel
9 Wu, Huoxiong
9 Yang, Dongyong
9 Zeytuncu, Yunus Ergýn
8 Fu, Siqi
8 Greene, Robert Everist
8 Harrington, Phillip S.
8 Lanzani, Loredana
8 McNeal, Jeffery D.
8 Monguzzi, Alessandro
8 Yan, Lixin
7 Agler, Jim
7 Bracci, Filippo
7 Brackx, Fred F.
7 Chen, Bo-Yong
7 Choe, Boo Rim
7 De Schepper, Hennie
7 Fornæss, John Erik
7 Guo, Kunyu
7 Hamada, Hidetaka
7 Liu, Bingyuan
7 Liu, Yongmin
7 Mitrea, Marius
7 Nicolay, Samuel
7 Ravisankar, Sivaguru
7 Ren, Guangbin
7 Şahutoğlu, Sönmez
7 Seshadri, Harish
7 Stein, Elias Menachem
7 Straube, Emil J.
7 Wick, Brett Duane
7 Yamamori, Atsushi
7 Yu, Yanyan
7 Zhang, Shuo
6 Akyel, Tuğba
6 Berhanu, Shiferaw
6 Bernal-Gonzàlez, Luis
6 Boas, Harold P.
6 Chen, Dazhao
6 Chen, Liwei
6 Choi, Young-Jun
6 Čučković, Željko
6 Delladio, Silvano
6 Elin, Mark
6 Engliš, Miroslav
6 Jiang, Zhijie
6 Klep, Igor
6 Lamel, Bernhard
6 Li, Ji
6 Li, Songxiao
6 Nestoridis, Vassili
6 Pan, Yifei
6 Shamoyan, Romi F.
6 Wang, Jianfei
6 Wang, Junmin
6 Zhang, Liyou
6 Zhu, Jianfeng
6 Zhu, Kehe
5 Alpay, Daniel Aron
5 Bandtlow, Oscar F.
5 Bonet Solves, José
5 Bory Reyes, Juan
5 Cao, Guangfu
5 Cao, Jun
5 Cho, Hong Rae
5 Cho, Sanghyun
5 Dall’Ara, Gian Maria
5 Dao, Nguyen Anh
...and 2,921 more Authors
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Cited in 518 Serials

172 Journal of Mathematical Analysis and Applications
151 The Journal of Geometric Analysis
79 Proceedings of the American Mathematical Society
63 Transactions of the American Mathematical Society
62 Complex Variables and Elliptic Equations
61 Journal of Functional Analysis
52 Advances in Mathematics
51 Mathematische Annalen
43 Complex Analysis and Operator Theory
40 Mathematische Zeitschrift
33 Applied Mathematics and Computation
33 Journal of Differential Equations
23 Duke Mathematical Journal
22 Rocky Mountain Journal of Mathematics
21 Integral Equations and Operator Theory
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal d’Analyse Mathématique
19 Annales de l’Institut Fourier
19 Annali di Matematica Pura ed Applicata. Serie Quarta
19 Science China. Mathematics
16 Mathematische Nachrichten
16 Michigan Mathematical Journal
16 International Journal of Mathematics
16 Communications in Partial Differential Equations
16 Linear Algebra and its Applications
15 Journal of Approximation Theory
15 Monatshefte für Mathematik
15 Filomat
15 Journal of Inequalities and Applications
14 Archiv der Mathematik
14 Manuscripta Mathematica
14 Science in China. Series A
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Computational Methods and Function Theory
14 Complex Analysis and its Synergies
13 SIAM Journal on Mathematical Analysis
13 Potential Analysis
12 Communications in Mathematical Physics
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Automatica
12 Results in Mathematics
12 Acta Mathematica Sinica. English Series
11 Archive for Rational Mechanics and Analysis
11 Bulletin of the London Mathematical Society
11 Inventiones Mathematicae
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Bulletin of the American Mathematical Society. New Series
11 Analysis and Mathematical Physics
10 Israel Journal of Mathematics
10 Mathematical Notes
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Bulletin of the Australian Mathematical Society
9 Mathematical Methods in the Applied Sciences
9 Annals of Global Analysis and Geometry
9 Constructive Approximation
9 Indagationes Mathematicae. New Series
9 Advances in Applied Clifford Algebras
9 Bulletin des Sciences Mathématiques
9 Abstract and Applied Analysis
9 Mediterranean Journal of Mathematics
9 Journal of Function Spaces
8 Collectanea Mathematica
8 Nagoya Mathematical Journal
8 Pacific Journal of Mathematics
8 Tôhoku Mathematical Journal. Second Series
8 Systems & Control Letters
8 Chinese Annals of Mathematics. Series B
8 Revista Matemática Iberoamericana
8 Geometric and Functional Analysis. GAFA
8 Calculus of Variations and Partial Differential Equations
8 Journal of Mathematical Sciences (New York)
8 The Journal of Fourier Analysis and Applications
7 Computers & Mathematics with Applications
7 Studia Mathematica
7 Arkiv för Matematik
7 Physica D
7 Journal of the American Mathematical Society
7 Forum Mathematicum
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Mathematical Inequalities & Applications
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Banach Journal of Mathematical Analysis
6 Journal of Statistical Physics
6 Chaos, Solitons and Fractals
6 Annales Polonici Mathematici
6 Indiana University Mathematics Journal
6 Journal of Computational and Applied Mathematics
6 The Annals of Applied Probability
6 Expositiones Mathematicae
6 Mathematical Programming. Series A. Series B
6 The New York Journal of Mathematics
6 Annales Henri Poincaré
5 Applicable Analysis
5 Journal of Mathematical Physics
5 Ukrainian Mathematical Journal
5 Czechoslovak Mathematical Journal
5 Geometriae Dedicata
5 Journal of the Korean Mathematical Society
5 Kodai Mathematical Journal
...and 418 more Serials
all top 5

Cited in 61 Fields

1,030 Several complex variables and analytic spaces (32-XX)
393 Functions of a complex variable (30-XX)
378 Operator theory (47-XX)
371 Partial differential equations (35-XX)
304 Functional analysis (46-XX)
252 Harmonic analysis on Euclidean spaces (42-XX)
159 Differential geometry (53-XX)
112 Global analysis, analysis on manifolds (58-XX)
107 Real functions (26-XX)
103 Dynamical systems and ergodic theory (37-XX)
101 Numerical analysis (65-XX)
100 Probability theory and stochastic processes (60-XX)
93 Potential theory (31-XX)
79 Ordinary differential equations (34-XX)
74 Calculus of variations and optimal control; optimization (49-XX)
65 Systems theory; control (93-XX)
55 Convex and discrete geometry (52-XX)
52 Approximations and expansions (41-XX)
51 Quantum theory (81-XX)
49 Operations research, mathematical programming (90-XX)
47 Fluid mechanics (76-XX)
46 Measure and integration (28-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
45 Mechanics of deformable solids (74-XX)
43 Algebraic geometry (14-XX)
38 Statistics (62-XX)
37 Combinatorics (05-XX)
37 Statistical mechanics, structure of matter (82-XX)
36 Computer science (68-XX)
35 Number theory (11-XX)
32 Special functions (33-XX)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 Abstract harmonic analysis (43-XX)
31 Biology and other natural sciences (92-XX)
30 Topological groups, Lie groups (22-XX)
26 Manifolds and cell complexes (57-XX)
25 Difference and functional equations (39-XX)
24 Mathematical logic and foundations (03-XX)
23 Integral equations (45-XX)
22 Geometry (51-XX)
21 Mechanics of particles and systems (70-XX)
20 General topology (54-XX)
16 Group theory and generalizations (20-XX)
15 History and biography (01-XX)
15 Information and communication theory, circuits (94-XX)
14 Relativity and gravitational theory (83-XX)
10 Integral transforms, operational calculus (44-XX)
7 Optics, electromagnetic theory (78-XX)
6 General and overarching topics; collections (00-XX)
5 Field theory and polynomials (12-XX)
5 Commutative algebra (13-XX)
5 Mathematics education (97-XX)
4 Geophysics (86-XX)
3 Associative rings and algebras (16-XX)
3 Nonassociative rings and algebras (17-XX)
3 Sequences, series, summability (40-XX)
3 Astronomy and astrophysics (85-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Algebraic topology (55-XX)
2 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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