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Author ID: koskela.pekka Recent zbMATH articles by "Koskela, Pekka"
Published as: Koskela, Pekka; Koskela, P.
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

16 single-authored
14 Onninen, Jani
12 Heinonen, Juha
11 Hencl, Stanislav
10 Buckley, Stephen M.
10 Shanmugalingam, Nageswari
10 Zhou, Yuan
9 Malý, Jan
8 Herron, David A.
7 Hajłasz, Piotr
7 Kilpeläinen, Tero
6 Zhang, Yi Ru-Ya
6 Zhu, Zheng
5 Iwaniec, Tadeusz
5 Jiang, Renjin
5 Nguyen, Khanh Ngoc
5 Tuominen, Heli
5 Tyson, Jeremy T.
5 Wang, Zhuang
5 Yang, Dachun
5 Zapadinskaya, Aleksandra
5 Zhong, Xiao
4 Guo, Changyu
4 Kauhanen, Janne
4 Lubinsky, Doron S.
4 Martio, Olli
4 Nieminen, Tomi
4 Rajala, Kai
4 Takkinen, Juhani
4 Zürcher, Thomas
3 Astala, Kari
3 Bonk, Mario
3 Gogatishvili, Amiran
3 Kauranen, Aapo
3 Martin, Gaven J.
3 Masaoka, Hiroaki
3 Saksman, Eero
3 Wildrick, Kevin
2 Balogh, Zoltán M.
2 Benedict, Sita
2 Coulhon, Thierry
2 Eriksson-Bique, Sylvester
2 González, María José
2 Heikkinen, Toni
2 Kallunki, Sari
2 Karak, Nijjwal
2 Lammi, Päivi
2 Lehrbäck, Juha
2 Lu, Guozhen
2 Todorčević, Vesna
2 Nandi, Debanjan
2 Nicolau, Artur
2 Rajala, Tapio
2 Rogovin, Sari
2 Rohde, Steffen
2 Soto, Tomás
1 Bouchala, Ondřej
1 Clop, Albert
1 Faraco, Daniel
1 Fässler, Katrin S.
1 Franchi, Bruno
1 Goldstein, Paweł
1 González Llorente, José
1 Grochulska, Zofia
1 Holopainen, Ilkka
1 Kline, Josh
1 Koch, Herbert
1 Koski, Aleksis
1 Le Donne, Enrico
1 Li, Xining
1 MacManus, Paul
1 Manfredi, Juan J.
1 Miranda, Michele jun.
1 Pankka, Pekka
1 Reitich, Fernando
1 Sbordone, Carlo
1 Sikora, Adam
1 Stanoyevitch, Alexander
1 Tossavainen, Timo
1 Troyanov, Marc
1 Ukhlov, Alexander Dadar-Oolovich
1 Väisälä, Jussi
1 Villamor, Enrique
1 Vukotić, Dragan
1 Xiao, Jie
1 Xu, Haiqing
1 ZhengZhu
all top 5

Serials

11 Journal of Functional Analysis
10 Proceedings of the American Mathematical Society
7 Annales Academiae Scientiarum Fennicae. Mathematica
6 Archive for Rational Mechanics and Analysis
6 Journal d’Analyse Mathématique
6 Indiana University Mathematics Journal
5 Advances in Mathematics
5 IMRN. International Mathematics Research Notices
5 The Journal of Geometric Analysis
5 Potential Analysis
5 Computational Methods and Function Theory
4 Michigan Mathematical Journal
4 Mathematical Research Letters
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Studia Mathematica
3 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
3 Bulletin of the London Mathematical Society
3 Illinois Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Transactions of the American Mathematical Society
3 Revista Matemática Iberoamericana
3 Publicacions Matemàtiques
3 Conformal Geometry and Dynamics
2 Arkiv för Matematik
2 American Journal of Mathematics
2 Commentarii Mathematici Helvetici
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Complex Variables. Theory and Application
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Journal of the European Mathematical Society (JEMS)
2 Advances in Calculus of Variations
2 Science China. Mathematics
1 Arkhimedes
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Ricerche di Matematica
1 Siberian Mathematical Journal
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Forum Mathematicum
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 New Zealand Journal of Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Revista Matemática Complutense
1 Acta Mathematica Sinica. English Series
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
1 Pure and Applied Mathematics Quarterly
1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes
1 Astérisque
1 Bericht. Universität Jyväskylä. Mathematisches Institut
1 Lecture Notes in Mathematics
1 New Mathematical Monographs
1 RIMS Kôkyûroku Bessatsu
1 Analysis & PDE
1 Analysis and Geometry in Metric Spaces
1 Nonlinear Analysis. Theory, Methods & Applications
1 Pure and Applied Functional Analysis

Publications by Year

Citations contained in zbMATH Open

175 Publications have been cited 4,502 times in 2,142 Documents Cited by Year
Sobolev met Poincaré. Zbl 0954.46022
Hajłasz, Piotr; Koskela, Pekka
505
2000
Quasiconformal maps in metric spaces with controlled geometry. Zbl 0915.30018
Heinonen, Juha; Koskela, Pekka
449
1998
Sobolev spaces on metric measure spaces. An approach based on upper gradients. Zbl 1332.46001
Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
296
2015
Lectures on mappings of finite distortion. Zbl 1293.30051
Hencl, Stanislav; Koskela, Pekka
130
2014
Quasiconformal mappings and Sobolev spaces. Zbl 0918.30011
Koskela, Pekka; MacManus, Paul
124
1998
Uniformizing Gromov hyperbolic spaces. Zbl 0970.30010
Bonk, Mario; Heinonen, Juha; Koskela, Pekka
114
2001
Sobolev meets Poincaré. Zbl 0837.46024
Hajłasz, Piotr; Koskela, Pekka
99
1995
Sobolev classes of Banach space-valued functions and quasiconformal mappings. Zbl 1013.46023
Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
93
2001
Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
84
2011
Definitions of Sobolev classes on metric spaces. Zbl 0938.46037
Franchi, Bruno; Hajłasz, Piotr; Koskela, Pekka
80
1999
Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029
Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli
77
2008
Mappings of finite distortion: Monotonicity and continuity. Zbl 1006.30016
Iwaniec, Tadeusz; Koskela, Pekka; Onninen, Jani
75
2001
Regularity of the inverse of a planar Sobolev homeomorphism. Zbl 1151.30325
Hencl, Stanislav; Koskela, Pekka
74
2006
Definitions of quasiconformality. Zbl 0832.30013
Heinonen, Juha; Koskela, Pekka
72
1995
Global integrability of the gradients of solutions to partial differential equations. Zbl 0820.35064
Kilpeläinen, T.; Koskela, P.
61
1994
Mappings of finite distortion: Condition \(N\). Zbl 0997.30018
Kauhanen, Janne; Koskela, Pekka; Malý, Jan
59
2001
On functions with derivatives in a Lorentz space. Zbl 0976.26004
Kauhanen, Janne; Koskela, Pekka; Malý, Jan
55
1999
Sobolev-Poincaré implies John. Zbl 0847.30012
Buckley, S.; Koskela, P.
54
1995
Mappings of \(BMO\)-bounded distortion. Zbl 0954.30009
Astala, Kari; Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
50
2000
Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013
Koskela, Pekka; Saksman, Eero
48
2008
Isoperimetric inequalities and imbedding theorems in irregular domains. Zbl 0922.46034
Hajłasz, Piotr; Koskela, Pekka
47
1998
Sobolev mappings with integrable dilatations. Zbl 0792.30016
Heinonen, Juha; Koskela, Pekka
46
1993
Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029
Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan
46
2013
Mappings of finite distortion: Discreteness and openness. Zbl 0998.30024
Kauhanen, Janne; Koskela, Pekka; Malý, Jan
45
2001
A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
43
2010
Mappings of finite distortion: capacity and modulus inequalities. Zbl 1114.30021
Koskela, Pekka; Onninen, Jani
42
2006
Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033
Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari
42
2010
Mappings of finite distortion: The zero set of the Jacobian. Zbl 1025.30019
Koskela, Pekka; Malý, Jan
39
2003
Hausdorff dimension and mean porosity. Zbl 0890.30013
Koskela, Pekka; Rohde, Steffen
38
1997
Measure density and extendability of Sobolev functions. Zbl 1226.46029
Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli
36
2008
Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006
Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari
35
2003
Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017
Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao
34
2003
Geometry and analysis of Dirichlet forms. Zbl 1253.53035
Koskela, Pekka; Zhou, Yuan
34
2012
Fractional integration, differentiation, and weighted Bergman spaces. Zbl 0930.42007
Buckley, Stephen M.; Koskela, Pekka; Vukotić, Dragan
33
1999
Regularity of the inverse of a Sobolev homeomorphism in space. Zbl 1122.30015
Hencl, Stanislav; Koskela, Pekka; Malý, Jan
32
2006
Removable sets for Sobolev spaces. Zbl 1070.46502
Koskela, Pekka
32
1999
Mappings of BMO-distortion and Beltrami-type operators. Zbl 1028.30015
Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
31
2002
Weighted Sobolev and Poincaré inequalities and quasiregular mappings of polynomial type. Zbl 0860.30018
Heinonen, Juha; Koskela, Pekka
30
1995
Regularity theory and traces of \({\mathcal A}\)-harmonic functions. Zbl 0849.31015
Koskela, Pekka; Manfredi, Juan J.; Villamor, Enrique
29
1996
From local to global in quasiconformal structures. Zbl 0842.30016
Heinonen, Juha; Koskela, Pekka
27
1996
Uniform, Sobolev extension and quasiconformal circle domains. Zbl 0776.30014
Herron, David A.; Koskela, Pekka
27
1991
Quasiconformal mappings and global integrability of the derivative. Zbl 0772.30022
Astala, Kari; Koskela, Pekka
27
1991
Hardy’s inequality and the boundary size. Zbl 1018.26008
Koskela, Pekka; Zhong, Xiao
27
2003
Extensions and imbeddings. Zbl 0924.46031
Koskela, P.
26
1998
Quasihyperbolic boundary conditions and Poincaré domains. Zbl 1007.30029
Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T.
26
2002
Homeomorphisms of bounded variation. Zbl 1155.26007
Hencl, Stanislav; Koskela, Pekka; Onninen, Jani
25
2007
Mappings of finite distortion: the degree of regularity. Zbl 1075.30012
Faraco, Daniel; Koskela, Pekka; Zhong, Xiao
23
2005
Boman equals John. Zbl 0861.43007
Buckley, S.; Koskela, P.; Lu, Guozhen
23
1996
A note on Lipschitz functions, upper gradients, and the Poincaré inequality. Zbl 1015.46020
Heinonen, Juha; Koskela, Pekka
22
1999
Conformal metrics on the unit ball in Euclidean space. Zbl 0916.30017
Bonk, Mario; Koskela, Pekka; Rohde, Steffen
22
1998
Capacity extension domains. Zbl 0699.31011
Koskela, Pekka
21
1990
Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi Väisälä. Zbl 1072.30503
Balogh, Zoltán M.; Koskela, Pekka
20
2000
A note on extremal mappings of finite distortion. Zbl 1079.30024
Hencl, Stanislav; Koskela, Pekka; Onninen, Jani
20
2005
Orlicz-Hardy inequalities. Zbl 1070.46018
Buckley, Stephen M.; Koskela, Pekka
20
2004
Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041
Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam
20
2020
Weighted pointwise Hardy inequalities. Zbl 1183.26026
Koskela, Pekka; Lehrbäck, Juha
19
2009
Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C.
19
2003
Criteria for imbeddings of Sobolev-Poincaré type. Zbl 0884.46025
Buckley, Stephen M.; Koskela, Pekka
19
1996
Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026
Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli
18
2007
Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings. Zbl 1096.30503
Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T.
17
2001
Mappings of finite distortion: gauge dimension of generalized quasicircles. Zbl 1050.30012
Herron, David A.; Koskela, Pekka
17
2003
Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005
Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
17
2004
Quasiextremal distance domains and conformal mappings onto circle domains. Zbl 0682.30011
Herron, David A.; Koskela, Pekka
16
1990
Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014
Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari
16
2007
Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019
Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás
16
2014
Ends of metric measure spaces and Sobolev inequalities. Zbl 1086.58021
Buckley, Stephen M.; Koskela, Pekka
15
2006
Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions. Zbl 1369.46028
Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli
15
2017
Mappings of finite distortion: Compactness. Zbl 1017.30024
Iwaniec, Tadeusz; Koskela, Pekka; Onninen, Jani
15
2002
Removable sets for the Poincaré inequality on metric spaces. Zbl 0958.30008
Koskela, P.; Shanmugalingam, N.; Tuominen, H.
13
2000
Volume growth and parabolicity. Zbl 0998.58024
Holopainen, Ilkka; Koskela, Pekka
13
2001
Mappings of finite distortion: Injectivity radius of a local homeomorphism. Zbl 1043.30009
Koskela, Pekka; Onninen, Jani; Rajala, Kai
13
2003
Mappings of finite distortion: formation of cusps. Zbl 1126.30012
Koskela, Pekka; Takkinen, Juhani
12
2007
Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015
Koskela, Pekka; Martio, Olli
12
1993
A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017
Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan
12
2017
Minimal assumptions for the integrability of the Jacobian. Zbl 1096.26005
Zhong, Xiao; Koskela, Pekka
11
2002
Mappings of finite distortion: The sharp modulus of continuity. Zbl 1027.30052
Koskela, Pekka; Onninen, Jani
11
2003
Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024
Hencl, Stanislav; Koskela, Pekka
11
2005
Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032
Hencl, Stanislav; Koskela, Pekka
11
2013
Generalized quasidisks and conformality. Zbl 1286.30021
Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani
11
2014
\(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006
Astala, Kari; Koskela, Pekka
10
2011
The degree of regularity of a quasiconformal mapping. Zbl 0814.30015
Koskela, Pekka
10
1994
Uniform and Sobolev extension domains. Zbl 0757.30022
Herron, David A.; Koskela, Pekka
10
1992
Conformal capacity and the quasihyperbolic metric. Zbl 0862.30021
Herron, David A.; Koskela, Pekka
10
1996
Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
10
2014
Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
10
2014
A density problem for Sobolev spaces on Gromov hyperbolic domains. Zbl 1371.46028
Koskela, Pekka; Rajala, Tapio; Zhang, Yi Ru-Ya
10
2017
Mappings of finite distortion: generalized Hausdorff dimension distortion. Zbl 1205.30017
Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas
10
2010
Mappings of finite distortion: formation of cusps. III. Zbl 1195.30034
Koskela, Pekka; Takkinen, Juhani
10
2010
Mappings of finite distortion: composition operator. Zbl 1139.26004
Hencl, Stanislav; Koskela, Pekka
9
2008
Exceptional sets for the definition of quasiconformality. Zbl 0954.30008
Kallunki, Sari; Koskela, Pekka
9
2000
Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025
Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari
9
2010
Old and new on the quasihyperbolic metric. Zbl 0888.30019
Koskela, Pekka
9
1998
Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings. Zbl 1092.30037
Hencl, Stanislav; Koskela, Pekka
9
2005
Morrey-Sobolev extension domains. Zbl 1371.42028
Koskela, Pekka; Zhang, Yi Ru-Ya; Zhou, Yuan
9
2017
Traces of weighted function spaces: dyadic norms and Whitney extensions. Zbl 1406.46024
Koskela, Pekka; Soto, Tomás; Wang, Zhuang
9
2017
Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. Zbl 1288.35018
Jiang, Renjin; Koskela, Pekka; Yang, Dachun
9
2014
Sobolev-Poincaré inequalities for \(p<1\). Zbl 0812.35039
Buckley, Stephen M.; Koskela, Pekka
8
1994
Luzin’s condition (N) and Sobolev mappings. Zbl 1257.26010
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
8
2012
Analytic properties of quasiconformal mappings between metric spaces. Zbl 1253.30035
Koskela, P.; Wildrick, K.
7
2012
Generalized dimension distortion under planar Sobolev homeomorphisms. Zbl 1177.30022
Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas
7
2009
Trace and density results on regular trees. Zbl 1498.46049
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
5
2022
Sobolev extensions via reflections. Zbl 1516.46022
Koskela, P.; Zhu, Z.
2
2022
On limits at infinity of weighted Sobolev functions. Zbl 1504.46039
Eriksson-Bique, Sylvester; Koskela, Pekka; Nguyen, Khanh
2
2022
The volume of the boundary of a Sobolev \((p,q)\)-extension domain. Zbl 1503.46034
Koskela, Pekka; Ukhlov, Alexander; Zhu, Zheng
2
2022
Pointwise inequalities for Sobolev functions on outward cuspidal domains. Zbl 1494.46033
Eriksson-Bique, Sylvester; Koskela, Pekka; Malý, Jan; Zhu, Zheng
2
2022
Weighted Hardy spaces of quasiconformal mappings. Zbl 1483.30055
Benedict, Sita; Koskela, Pekka; Li, Xining
1
2022
Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041
Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam
20
2020
Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044
Koskela, Pekka; Wang, Zhuang
7
2020
Sobolev homeomorphic extensions onto John domains. Zbl 1475.30049
Koskela, Pekka; Koski, Aleksis; Onninen, Jani
5
2020
Trace operators on regular trees. Zbl 1478.46041
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
5
2020
Product of extension domains is still an extension domain. Zbl 1453.46031
Koskela, Pekka; Zhu, Zheng
2
2020
Regularity and modulus of continuity of space-filling curves. Zbl 1423.28014
Kauranen, Aapo; Koskela, Pekka; Zapadinskaya, Aleksandra
2
2019
Controlled diffeomorphic extension of homeomorphisms. Zbl 1405.31001
Koskela, Pekka; Wang, Zhuang; Xu, Haiqing
5
2018
Accessible parts of boundary for simply connected domains. Zbl 1392.26037
Koskela, Pekka; Nandi, Debanjan; Nicolau, Artur
2
2018
Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions. Zbl 1369.46028
Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli
15
2017
A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017
Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan
12
2017
A density problem for Sobolev spaces on Gromov hyperbolic domains. Zbl 1371.46028
Koskela, Pekka; Rajala, Tapio; Zhang, Yi Ru-Ya
10
2017
Morrey-Sobolev extension domains. Zbl 1371.42028
Koskela, Pekka; Zhang, Yi Ru-Ya; Zhou, Yuan
9
2017
Traces of weighted function spaces: dyadic norms and Whitney extensions. Zbl 1406.46024
Koskela, Pekka; Soto, Tomás; Wang, Zhuang
9
2017
Sharpness of uniform continuity of quasiconformal mappings onto \(s\)-John domains. Zbl 1361.30035
Guo, Chang-Yu; Koskela, Pekka
2
2017
A density problem for Sobolev spaces on planar domains. Zbl 1360.46030
Koskela, Pekka; Zhang, Yi Ru-Ya
6
2016
Sobolev spaces on metric measure spaces. An approach based on upper gradients. Zbl 1332.46001
Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
296
2015
Luzin’s condition (N) and modulus of continuity. Zbl 1315.26008
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
5
2015
Generalized dimension estimates for images of porous sets under monotone Sobolev mappings. Zbl 1316.26013
Koskela, Pekka; Zapadinskaya, Aleksandra
4
2015
Nonexistence of quasiconformal maps between certain metric measure spaces. Zbl 1342.30053
Fässler, Katrin; Koskela, Pekka; Le Donne, Enrico
3
2015
Intrinsic Hardy-Orlicz spaces of conformal mappings. Zbl 1316.30049
Koskela, Pekka; Benedict, Sita
3
2015
Lattice property of \(p\)-admissible weights. Zbl 1337.46026
Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki
2
2015
Dimension gap under Sobolev mappings. Zbl 1370.46019
Koskela, Pekka; Zapadinskaya, Aleksandra
2
2015
Lebesgue points via the Poincaré inequality. Zbl 1342.46035
Karak, Nijjwal; Koskela, Pekka
1
2015
Lectures on mappings of finite distortion. Zbl 1293.30051
Hencl, Stanislav; Koskela, Pekka
130
2014
Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019
Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás
16
2014
Generalized quasidisks and conformality. Zbl 1286.30021
Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani
11
2014
Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
10
2014
Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
10
2014
Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. Zbl 1288.35018
Jiang, Renjin; Koskela, Pekka; Yang, Dachun
9
2014
Gromov hyperbolicity and quasihyperbolic geodesics. (Hyperbolicité de Gromov et quasi-hyperbolique géodésique.) Zbl 1317.30085
Koskela, Pekka; Lammi, Päivi; Manojlović, Vesna
7
2014
Generalized John disks. Zbl 1294.30037
Guo, Chang-Yu; Koskela, Pekka
7
2014
Solvability of the divergence equation implies John via Poincaré inequality. Zbl 1288.35189
Jiang, Renjin; Kauranen, Aapo; Koskela, Pekka
6
2014
Boundary blow-up under Sobolev mappings. Zbl 1312.26024
Kauranen, Aapo; Koskela, Pekka
5
2014
Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029
Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan
46
2013
Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032
Hencl, Stanislav; Koskela, Pekka
11
2013
Gehring-Hayman theorem for conformal deformations. Zbl 1276.30040
Koskela, Pekka; Lammi, Päivi
5
2013
Harmonie Hardy-Orlicz spaces. Zbl 1272.31010
Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki
2
2013
Geometry and analysis of Dirichlet forms. Zbl 1253.53035
Koskela, Pekka; Zhou, Yuan
34
2012
Luzin’s condition (N) and Sobolev mappings. Zbl 1257.26010
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
8
2012
Analytic properties of quasiconformal mappings between metric spaces. Zbl 1253.30035
Koskela, P.; Wildrick, K.
7
2012
Dimension gap under conformal mappings. Zbl 1253.30034
Hencl, Stanislav; Koskela, Pekka; Nieminen, Tomi
6
2012
Isoperimetric inequality from the Poisson equation via curvature. Zbl 1247.53045
Jiang, Renjin; Koskela, Pekka
6
2012
Continuity of solutions to \(n\)-harmonic equations. Zbl 1250.35097
Jiang, Renjin; Koskela, Pekka; Yang, Dachun
5
2012
\(L^\infty\)-variational problem associated to Dirichlet forms. Zbl 1280.49028
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
5
2012
Quasi-nearly subharmonic functions and quasiconformal mappings. Zbl 1252.31005
Koskela, Pekka; Manojlović, Vesna
4
2012
Mappings of finite distortion: decay of the Jacobian. Zbl 1267.30065
Koskela, Pekka; Onninen, Jani; Rajala, Kai
3
2012
Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
84
2011
\(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006
Astala, Kari; Koskela, Pekka
10
2011
A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
43
2010
Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033
Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari
42
2010
Mappings of finite distortion: generalized Hausdorff dimension distortion. Zbl 1205.30017
Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas
10
2010
Mappings of finite distortion: formation of cusps. III. Zbl 1195.30034
Koskela, Pekka; Takkinen, Juhani
10
2010
Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025
Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari
9
2010
A note to “Mappings of finite distortion: formation of cusps. II”. Zbl 1234.30017
Koskela, Pekka; Takkinen, Juhani
6
2010
A Jordan Sobolev extension domain. Zbl 1209.46016
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
4
2010
Planar mappings of finite distortion. Zbl 1206.26018
Koskela, Pekka
3
2010
Weighted pointwise Hardy inequalities. Zbl 1183.26026
Koskela, Pekka; Lehrbäck, Juha
19
2009
Generalized dimension distortion under planar Sobolev homeomorphisms. Zbl 1177.30022
Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas
7
2009
Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion. Zbl 1178.30026
Clop, Albert; Koskela, Pekka
5
2009
Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029
Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli
77
2008
Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013
Koskela, Pekka; Saksman, Eero
48
2008
Measure density and extendability of Sobolev functions. Zbl 1226.46029
Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli
36
2008
Mappings of finite distortion: composition operator. Zbl 1139.26004
Hencl, Stanislav; Koskela, Pekka
9
2008
Mappings of finite distortion: Decay of the Jacobian in the plane. Zbl 1160.30009
Koskela, Pekka; Onninen, Jani
6
2008
Uniform continuity of quasiconformal mappings and conformal deformations. Zbl 1133.30320
Koskela, Pekka; Nieminen, Tomi
5
2008
Homeomorphisms of finite distortion: discrete length of radial images. Zbl 1154.30016
Koskela, Pekka; Nieminen, Tomi
3
2008
Exceptional sets for quasiconformal mappings in general metric spaces. Zbl 1160.30008
Koskela, P.; Wildrick, K.
1
2008
Homeomorphisms of bounded variation. Zbl 1155.26007
Hencl, Stanislav; Koskela, Pekka; Onninen, Jani
25
2007
Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026
Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli
18
2007
Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014
Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari
16
2007
Mappings of finite distortion: formation of cusps. Zbl 1126.30012
Koskela, Pekka; Takkinen, Juhani
12
2007
Mappings of finite distortion: reverse inequalities for the Jacobian. Zbl 1126.30014
Hencl, Stanislav; Koskela, Pekka; Zhong, Xiao
4
2007
Quasihyperbolic growth conditions and compact embeddings of Sobolev spaces. Zbl 1135.46015
Koskela, Pekka; Lehrbäck, Juha
1
2007
Regularity of the inverse of a planar Sobolev homeomorphism. Zbl 1151.30325
Hencl, Stanislav; Koskela, Pekka
74
2006
Mappings of finite distortion: capacity and modulus inequalities. Zbl 1114.30021
Koskela, Pekka; Onninen, Jani
42
2006
Regularity of the inverse of a Sobolev homeomorphism in space. Zbl 1122.30015
Hencl, Stanislav; Koskela, Pekka; Malý, Jan
32
2006
Ends of metric measure spaces and Sobolev inequalities. Zbl 1086.58021
Buckley, Stephen M.; Koskela, Pekka
15
2006
Mappings of finite distortion: the degree of regularity. Zbl 1075.30012
Faraco, Daniel; Koskela, Pekka; Zhong, Xiao
23
2005
A note on extremal mappings of finite distortion. Zbl 1079.30024
Hencl, Stanislav; Koskela, Pekka; Onninen, Jani
20
2005
Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024
Hencl, Stanislav; Koskela, Pekka
11
2005
Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings. Zbl 1092.30037
Hencl, Stanislav; Koskela, Pekka
9
2005
Quasiconformal removability and the quasihyperbolic metric. Zbl 1078.30016
Koskela, Pekka; Nieminen, Tomi
7
2005
Linear dilatation and absolute continuity. Zbl 1082.30015
Koskela, P.; Rogovin, S.
5
2005
A non-doubling Trudinger inequality. Zbl 1091.46019
Gogatishvili, Amiran; Koskela, Pekka
1
2005
Orlicz-Hardy inequalities. Zbl 1070.46018
Buckley, Stephen M.; Koskela, Pekka
20
2004
Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005
Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
17
2004
Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027
Coulhon, Thierry; Koskela, Pekka
4
2004
Formation of cracks under deformations with finite energy. Zbl 1064.74023
Hajłasz, Piotr; Koskela, Pekka
1
2004
Mappings of finite distortion: The zero set of the Jacobian. Zbl 1025.30019
Koskela, Pekka; Malý, Jan
39
2003
Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006
Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari
35
2003
Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017
Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao
34
2003
Hardy’s inequality and the boundary size. Zbl 1018.26008
Koskela, Pekka; Zhong, Xiao
27
2003
Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C.
19
2003
Mappings of finite distortion: gauge dimension of generalized quasicircles. Zbl 1050.30012
Herron, David A.; Koskela, Pekka
17
2003
...and 75 more Documents
all top 5

Cited by 1,535 Authors

88 Koskela, Pekka
65 Yang, Dachun
61 Shanmugalingam, Nageswari
40 Onninen, Jani
39 Björn, Jana
39 Shimomura, Tetsu
37 Björn, Anders
35 Lahti, Panu
33 Yuan, Wen
32 Sevost’yanov, Yevgen Oleksandrovych
31 Ukhlov, Alexander Dadar-Oolovich
28 Hencl, Stanislav
25 Hajłasz, Piotr
24 Gol’dshtein, Vladimir Mikhailovich
24 Rodríguez García, José Manuel
23 Byun, Sun-Sig
23 Iwaniec, Tadeusz
23 Jiang, Renjin
23 Lehrbäck, Juha
22 Ambrosio, Luigi
22 Kinnunen, Juha
22 Ohno, Takao
21 Ryazanov, Vladimir Il’ich
21 Vodop’yanov, Sergeĭ Konstantinovich
20 Zhou, Yuan
19 Guo, Changyu
19 Rajala, Tapio
19 Salimov, Ruslan Radikovich
19 Zhou, Qingshan
18 Gigli, Nicola
18 Herron, David A.
18 Tuominen, Heli
17 Górka, Przemysław
17 Korte, Riikka
17 Rajala, Kai
17 Vähäkangas, Antti V.
16 Hurri-Syrjānen, Ritva
16 Mizuta, Yoshihiro
15 Tyson, Jeremy T.
14 Balogh, Zoltán M.
14 Cianchi, Andrea
14 Heinonen, Juha
13 Golberg, Anatoly
13 Huang, Manzi
13 Li, Yaxiang
13 Malý, Jan
13 Marola, Niko
13 Martin, Gaven J.
13 Pasqualetto, Enrico
13 Savaré, Giuseppe
13 Sbordone, Carlo
13 Wang, Xiantao
12 Adamowicz, Tomasz
12 Ding, Shusen
12 Eriksson-Bique, Sylvester
12 Soultanis, Elefterios
12 Vuorinen, Matti Keijo Kustaa
12 Wenger, Stefan
12 Zhong, Xiao
11 Buckley, Stephen M.
11 Clop, Albert
11 Honda, Shouhei
11 Kauranen, Aapo
11 Parviainen, Mikko
11 Ponnusamy, Saminathan
11 Wang, Zhuang
11 Zhu, Zheng
10 Afanas’eva, Elena Sergeevna
10 Di Fazio, Giuseppe
10 Futamura, Toshihide
10 Gutlyanskiĭ, Vladimir Ya.
10 Kleiner, Bruce
10 Latvala, Visa
10 Lytchak, Alexander
10 Pankka, Pekka
10 Passarelli di Napoli, Antonia
10 Schiattarella, Roberta
10 Yang, Shanshuang
10 Zürcher, Thomas
9 Baudoin, Fabrice
9 Cheeger, Jeff
9 Heikkinen, Toni
9 Martio, Olli
9 Maz’ya, Vladimir Gilelevich
9 Morbidelli, Daniele
9 Nguyen Cong Phuc
9 Pchelintsev, Valery Anatol’evich
9 Pinamonti, Andrea
9 Portilla, Ana
9 Zhang, Huichun
8 Astala, Kari
8 Capogna, Luca
8 D’Onofrio, Luigi
8 Fässler, Katrin S.
8 Garofalo, Nicola
8 Girela, Daniel
8 Harjulehto, Petteri
8 Kalaj, David
8 Karak, Nijjwal
8 Koski, Aleksis
...and 1,435 more Authors
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Cited in 270 Serials

108 Journal of Mathematical Analysis and Applications
87 Journal of Functional Analysis
84 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
81 The Journal of Geometric Analysis
74 Calculus of Variations and Partial Differential Equations
69 Proceedings of the American Mathematical Society
57 Potential Analysis
49 Transactions of the American Mathematical Society
46 Advances in Mathematics
45 Journal d’Analyse Mathématique
38 Mathematische Zeitschrift
37 Journal of Differential Equations
37 Annales Academiae Scientiarum Fennicae. Mathematica
37 Complex Variables and Elliptic Equations
33 Archive for Rational Mechanics and Analysis
33 Analysis and Geometry in Metric Spaces
33 Annales Fennici Mathematici
30 Manuscripta Mathematica
30 Journal of Mathematical Sciences (New York)
29 Mathematische Annalen
29 Revista Matemática Iberoamericana
28 Journal de Mathématiques Pures et Appliquées. Neuvième Série
26 Conformal Geometry and Dynamics
24 Siberian Mathematical Journal
23 Annali di Matematica Pura ed Applicata. Serie Quarta
21 Acta Mathematica Sinica. English Series
20 Computational Methods and Function Theory
17 Duke Mathematical Journal
17 Mathematische Nachrichten
16 Complex Analysis and Operator Theory
16 Advances in Calculus of Variations
15 Arkiv för Matematik
15 Illinois Journal of Mathematics
14 Michigan Mathematical Journal
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Israel Journal of Mathematics
13 Inventiones Mathematicae
13 Geometric and Functional Analysis. GAFA
12 Studia Mathematica
12 Revista Matemática Complutense
12 Communications in Contemporary Mathematics
11 Science China. Mathematics
11 Analysis and Mathematical Physics
10 Annales de l’Institut Fourier
10 Journal für die Reine und Angewandte Mathematik
10 Journal of Inequalities and Applications
9 Geometriae Dedicata
9 Results in Mathematics
9 Forum Mathematicum
9 St. Petersburg Mathematical Journal
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
8 Ukrainian Mathematical Journal
8 Czechoslovak Mathematical Journal
8 Memoirs of the American Mathematical Society
8 Tôhoku Mathematical Journal. Second Series
8 Bulletin des Sciences Mathématiques
8 Journal of the European Mathematical Society (JEMS)
8 Central European Journal of Mathematics
7 SIAM Journal on Mathematical Analysis
7 NoDEA. Nonlinear Differential Equations and Applications
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Mediterranean Journal of Mathematics
7 Journal of Fixed Point Theory and Applications
7 Complex Analysis and its Synergies
7 Journal of Function Spaces
6 Indiana University Mathematics Journal
6 Integral Equations and Operator Theory
6 Journal of the Mathematical Society of Japan
6 Proceedings of the London Mathematical Society. Third Series
6 Ricerche di Matematica
6 Zeitschrift für Analysis und ihre Anwendungen
6 The Journal of Fourier Analysis and Applications
6 Doklady Mathematics
6 Abstract and Applied Analysis
6 Geometry & Topology
6 Analysis & PDE
5 Mathematical Notes
5 Acta Mathematica
5 Canadian Mathematical Bulletin
5 Collectanea Mathematica
5 Journal of the London Mathematical Society. Second Series
5 Monatshefte für Mathematik
5 SIAM Journal on Control and Optimization
5 Communications in Partial Differential Equations
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Expositiones Mathematicae
5 Sbornik: Mathematics
5 Annals of Mathematics. Second Series
5 Lobachevskii Journal of Mathematics
5 Journal of Evolution Equations
5 Journal of the Australian Mathematical Society
5 Banach Journal of Mathematical Analysis
5 Discrete and Continuous Dynamical Systems. Series S
5 Annals of Functional Analysis
5 Transactions of A. Razmadze Mathematical Institute
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Archiv der Mathematik
...and 170 more Serials
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Cited in 50 Fields

803 Functions of a complex variable (30-XX)
734 Functional analysis (46-XX)
536 Partial differential equations (35-XX)
312 Potential theory (31-XX)
291 Real functions (26-XX)
281 Differential geometry (53-XX)
225 Harmonic analysis on Euclidean spaces (42-XX)
195 Calculus of variations and optimal control; optimization (49-XX)
171 Measure and integration (28-XX)
168 Global analysis, analysis on manifolds (58-XX)
127 Operator theory (47-XX)
61 Abstract harmonic analysis (43-XX)
48 Topological groups, Lie groups (22-XX)
45 Dynamical systems and ergodic theory (37-XX)
43 General topology (54-XX)
42 Probability theory and stochastic processes (60-XX)
41 Mechanics of deformable solids (74-XX)
38 Geometry (51-XX)
31 Several complex variables and analytic spaces (32-XX)
27 Combinatorics (05-XX)
23 Manifolds and cell complexes (57-XX)
19 Group theory and generalizations (20-XX)
14 Approximations and expansions (41-XX)
12 Convex and discrete geometry (52-XX)
11 Fluid mechanics (76-XX)
9 Ordinary differential equations (34-XX)
9 Numerical analysis (65-XX)
7 Difference and functional equations (39-XX)
7 Algebraic topology (55-XX)
7 Quantum theory (81-XX)
4 Number theory (11-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Integral transforms, operational calculus (44-XX)
4 Computer science (68-XX)
4 Mechanics of particles and systems (70-XX)
4 Optics, electromagnetic theory (78-XX)
3 General and overarching topics; collections (00-XX)
3 Operations research, mathematical programming (90-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Algebraic geometry (14-XX)
2 Statistics (62-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
2 Information and communication theory, circuits (94-XX)
1 Nonassociative rings and algebras (17-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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