Edit Profile (opens in new tab) Krantz, Steven George Co-Author Distance Author ID: krantz.steven-george Published as: Krantz, Steven G.; Krantz, S. G.; Krantz, Steven; Krantz, Steven George more...less Homepage: https://www.math.wustl.edu/~sk/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 333 Publications since 1976, including 74 Books and 18 Additional arXiv Preprints 17 Contributions as Editor · 2 Further Contributions Reviewing Activity: 195 Reviews Biographic References: 1 Publication Co-Authors: 124 Co-Authors with 172 Joint Publications 4,316 Co-Co-Authors all top 5 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 all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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