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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
Documents Indexed: 181 Publications since 1990, including 5 Books
6 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 78 Co-Authors with 170 Joint Publications
1,545 Co-Co-Authors
all top 5

Serials

9 Proceedings of the American Mathematical Society
8 Journal of Functional Analysis
7 Annales Academiae Scientiarum Fennicae. Mathematica
6 Archive for Rational Mechanics and Analysis
6 Journal d’Analyse Mathématique
6 Indiana University Mathematics Journal
6 Computational Methods and Function Theory
5 Advances in Mathematics
5 IMRN. International Mathematics Research Notices
5 The Journal of Geometric Analysis
5 Potential Analysis
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 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

Publications by Year

Citations contained in zbMATH Open

169 Publications have been cited 3,673 times in 1,764 Documents Cited by Year
Sobolev met Poincaré. Zbl 0954.46022
Hajłasz, Piotr; Koskela, Pekka
387
2000
Quasiconformal maps in metric spaces with controlled geometry. Zbl 0915.30018
Heinonen, Juha; Koskela, Pekka
368
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.
203
2015
Quasiconformal mappings and Sobolev spaces. Zbl 0918.30011
Koskela, Pekka; MacManus, Paul
101
1998
Uniformizing Gromov hyperbolic spaces. Zbl 0970.30010
Bonk, Mario; Heinonen, Juha; Koskela, Pekka
98
2001
Lectures on mappings of finite distortion. Zbl 1293.30051
Hencl, Stanislav; Koskela, Pekka
93
2014
Sobolev meets Poincaré. Zbl 0837.46024
Hajłasz, Piotr; Koskela, Pekka
91
1995
Sobolev classes of Banach space-valued functions and quasiconformal mappings. Zbl 1013.46023
Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
78
2001
Definitions of Sobolev classes on metric spaces. Zbl 0938.46037
Franchi, Bruno; Hajłasz, Piotr; Koskela, Pekka
68
1999
Mappings of finite distortion: Monotonicity and continuity. Zbl 1006.30016
Iwaniec, Tadeusz; Koskela, Pekka; Onninen, Jani
68
2001
Regularity of the inverse of a planar Sobolev homeomorphism. Zbl 1151.30325
Hencl, Stanislav; Koskela, Pekka
67
2006
Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
62
2011
Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029
Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli
61
2008
Definitions of quasiconformality. Zbl 0832.30013
Heinonen, Juha; Koskela, Pekka
59
1995
Mappings of finite distortion: Condition \(N\). Zbl 0997.30018
Kauhanen, Janne; Koskela, Pekka; Malý, Jan
58
2001
On functions with derivatives in a Lorentz space. Zbl 0976.26004
Kauhanen, Janne; Koskela, Pekka; Malý, Jan
52
1999
Global integrability of the gradients of solutions to partial differential equations. Zbl 0820.35064
Kilpeläinen, T.; Koskela, P.
51
1994
Sobolev-Poincaré implies John. Zbl 0847.30012
Buckley, S.; Koskela, P.
47
1995
Mappings of \(BMO\)-bounded distortion. Zbl 0954.30009
Astala, Kari; Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
46
2000
Sobolev mappings with integrable dilatations. Zbl 0792.30016
Heinonen, Juha; Koskela, Pekka
45
1993
Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013
Koskela, Pekka; Saksman, Eero
44
2008
Mappings of finite distortion: Discreteness and openness. Zbl 0998.30024
Kauhanen, Janne; Koskela, Pekka; Malý, Jan
42
2001
Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029
Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan
39
2013
Mappings of finite distortion: capacity and modulus inequalities. Zbl 1114.30021
Koskela, Pekka; Onninen, Jani
37
2006
Mappings of finite distortion: The zero set of the Jacobian. Zbl 1025.30019
Koskela, Pekka; Malý, Jan
35
2003
Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033
Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari
35
2010
A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
35
2010
Hausdorff dimension and mean porosity. Zbl 0890.30013
Koskela, Pekka; Rohde, Steffen
33
1997
Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017
Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao
32
2003
Regularity of the inverse of a Sobolev homeomorphism in space. Zbl 1122.30015
Hencl, Stanislav; Koskela, Pekka; Malý, Jan
31
2006
Measure density and extendability of Sobolev functions. Zbl 1226.46029
Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli
31
2008
Weighted Sobolev and Poincaré inequalities and quasiregular mappings of polynomial type. Zbl 0860.30018
Heinonen, Juha; Koskela, Pekka
29
1995
Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006
Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari
29
2003
Regularity theory and traces of \({\mathcal A}\)-harmonic functions. Zbl 0849.31015
Koskela, Pekka; Manfredi, Juan J.; Villamor, Enrique
28
1996
Mappings of BMO-distortion and Beltrami-type operators. Zbl 1028.30015
Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven
28
2002
Removable sets for Sobolev spaces. Zbl 1070.46502
Koskela, Pekka
28
1999
Geometry and analysis of Dirichlet forms. Zbl 1253.53035
Koskela, Pekka; Zhou, Yuan
28
2012
Fractional integration, differentiation, and weighted Bergman spaces. Zbl 0930.42007
Buckley, Stephen M.; Koskela, Pekka; Vukotić, Dragan
27
1999
From local to global in quasiconformal structures. Zbl 0842.30016
Heinonen, Juha; Koskela, Pekka
25
1996
Hardy’s inequality and the boundary size. Zbl 1018.26008
Koskela, Pekka; Zhong, Xiao
24
2003
Mappings of finite distortion: the degree of regularity. Zbl 1075.30012
Faraco, Daniel; Koskela, Pekka; Zhong, Xiao
23
2005
Quasiconformal mappings and global integrability of the derivative. Zbl 0772.30022
Astala, Kari; Koskela, Pekka
22
1991
Quasihyperbolic boundary conditions and Poincaré domains. Zbl 1007.30029
Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T.
21
2002
Homeomorphisms of bounded variation. Zbl 1155.26007
Hencl, Stanislav; Koskela, Pekka; Onninen, Jani
21
2007
Conformal metrics on the unit ball in Euclidean space. Zbl 0916.30017
Bonk, Mario; Koskela, Pekka; Rohde, Steffen
20
1998
Isoperimetric inequalities and imbedding theorems in irregular domains. Zbl 0922.46034
Hajłasz, Piotr; Koskela, Pekka
20
1998
A note on Lipschitz functions, upper gradients, and the Poincaré inequality. Zbl 1015.46020
Heinonen, Juha; Koskela, Pekka
19
1999
Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C.
19
2003
Extensions and imbeddings. Zbl 0924.46031
Koskela, P.
19
1998
Uniform, Sobolev extension and quasiconformal circle domains. Zbl 0776.30014
Herron, David A.; Koskela, Pekka
18
1991
Criteria for imbeddings of Sobolev-Poincaré type. Zbl 0884.46025
Buckley, Stephen M.; Koskela, Pekka
18
1996
A note on extremal mappings of finite distortion. Zbl 1079.30024
Hencl, Stanislav; Koskela, Pekka; Onninen, Jani
18
2005
Boman equals John. Zbl 0861.43007
Buckley, S.; Koskela, P.; Lu, Guozhen
17
1996
Mappings of finite distortion: gauge dimension of generalized quasicircles. Zbl 1050.30012
Herron, David A.; Koskela, Pekka
16
2003
Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005
Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
16
2004
Weighted pointwise Hardy inequalities. Zbl 1183.26026
Koskela, Pekka; Lehrbäck, Juha
16
2009
Orlicz-Hardy inequalities. Zbl 1070.46018
Buckley, Stephen M.; Koskela, Pekka
15
2004
Capacity extension domains. Zbl 0699.31011
Koskela, Pekka
14
1990
Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi Väisälä. Zbl 1072.30503
Balogh, Zoltán M.; Koskela, Pekka
14
2000
Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019
Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás
14
2014
Ends of metric measure spaces and Sobolev inequalities. Zbl 1086.58021
Buckley, Stephen M.; Koskela, Pekka
14
2006
Mappings of finite distortion: Compactness. Zbl 1017.30024
Iwaniec, Tadeusz; Koskela, Pekka; Onninen, Jani
14
2002
Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026
Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli
14
2007
Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings. Zbl 1096.30503
Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T.
13
2001
Quasiextremal distance domains and conformal mappings onto circle domains. Zbl 0682.30011
Herron, David A.; Koskela, Pekka
13
1990
Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014
Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari
13
2007
Mappings of finite distortion: Injectivity radius of a local homeomorphism. Zbl 1043.30009
Koskela, Pekka; Onninen, Jani; Rajala, Kai
12
2003
Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015
Koskela, Pekka; Martio, Olli
11
1993
Mappings of finite distortion: The sharp modulus of continuity. Zbl 1027.30052
Koskela, Pekka; Onninen, Jani
11
2003
Minimal assumptions for the integrability of the Jacobian. Zbl 1096.26005
Zhong, Xiao; Koskela, Pekka
11
2002
Uniform and Sobolev extension domains. Zbl 0757.30022
Herron, David A.; Koskela, Pekka
10
1992
Mappings of finite distortion: generalized Hausdorff dimension distortion. Zbl 1205.30017
Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas
10
2010
The degree of regularity of a quasiconformal mapping. Zbl 0814.30015
Koskela, Pekka
10
1994
Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024
Hencl, Stanislav; Koskela, Pekka
10
2005
Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
9
2014
Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions. Zbl 1369.46028
Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli
9
2017
A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017
Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan
9
2017
Removable sets for the Poincaré inequality on metric spaces. Zbl 0958.30008
Koskela, P.; Shanmugalingam, N.; Tuominen, H.
9
2000
Old and new on the quasihyperbolic metric. Zbl 0888.30019
Koskela, Pekka
8
1998
Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
8
2014
Volume growth and parabolicity. Zbl 0998.58024
Holopainen, Ilkka; Koskela, Pekka
8
2001
Conformal capacity and the quasihyperbolic metric. Zbl 0862.30021
Herron, David A.; Koskela, Pekka
8
1996
Exceptional sets for the definition of quasiconformality. Zbl 0954.30008
Kallunki, Sari; Koskela, Pekka
8
2000
Mappings of finite distortion: formation of cusps. Zbl 1126.30012
Koskela, Pekka; Takkinen, Juhani
8
2007
Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032
Hencl, Stanislav; Koskela, Pekka
8
2013
Generalized quasidisks and conformality. Zbl 1286.30021
Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani
8
2014
Traces of weighted function spaces: dyadic norms and Whitney extensions. Zbl 1406.46024
Koskela, Pekka; Soto, Tomás; Wang, Zhuang
7
2017
Generalized dimension distortion under planar Sobolev homeomorphisms. Zbl 1177.30022
Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas
7
2009
Mappings of finite distortion: formation of cusps. III. Zbl 1195.30034
Koskela, Pekka; Takkinen, Juhani
7
2010
Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings. Zbl 1092.30037
Hencl, Stanislav; Koskela, Pekka
7
2005
Hölder continuity of Sobolev functions and quasiconformal mappings. Zbl 0792.46023
Koskela, P.; Reitich, F.
7
1993
Sobolev-Poincaré inequalities for \(p<1\). Zbl 0812.35039
Buckley, Stephen M.; Koskela, Pekka
7
1994
Quasiconformal removability and the quasihyperbolic metric. Zbl 1078.30016
Koskela, Pekka; Nieminen, Tomi
7
2005
A density problem for Sobolev spaces on Gromov hyperbolic domains. Zbl 1371.46028
Koskela, Pekka; Rajala, Tapio; Zhang, Yi Ru-Ya
6
2017
\(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006
Astala, Kari; Koskela, Pekka
6
2011
Mappings of finite distortion: composition operator. Zbl 1139.26004
Hencl, Stanislav; Koskela, Pekka
6
2008
Luzin’s condition (N) and Sobolev mappings. Zbl 1257.26010
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
6
2012
Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041
Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam
6
2020
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
Pointwise inequalities for Sobolev functions on outward cuspidal domains. Zbl 07487104
Eriksson-Bique, Sylvester; Koskela, Pekka; Malý, Jan; Zhu, Zheng
1
2022
Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041
Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam
6
2020
Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044
Koskela, Pekka; Wang, Zhuang
6
2020
Trace operators on regular trees. Zbl 1478.46041
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
2
2020
Sobolev homeomorphic extensions onto John domains. Zbl 1475.30049
Koskela, Pekka; Koski, Aleksis; Onninen, Jani
1
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
3
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
9
2017
A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017
Koskela, Pekka; Xiao, Jie; 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
7
2017
A density problem for Sobolev spaces on Gromov hyperbolic domains. Zbl 1371.46028
Koskela, Pekka; Rajala, Tapio; Zhang, Yi Ru-Ya
6
2017
Morrey-Sobolev extension domains. Zbl 1371.42028
Koskela, Pekka; Zhang, Yi Ru-Ya; Zhou, Yuan
6
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
5
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.
203
2015
Luzin’s condition (N) and modulus of continuity. Zbl 1315.26008
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
5
2015
Nonexistence of quasiconformal maps between certain metric measure spaces. Zbl 1342.30053
Fässler, Katrin; Koskela, Pekka; Le Donne, Enrico
3
2015
Generalized dimension estimates for images of porous sets under monotone Sobolev mappings. Zbl 1316.26013
Koskela, Pekka; Zapadinskaya, Aleksandra
3
2015
Intrinsic Hardy-Orlicz spaces of conformal mappings. Zbl 1316.30049
Koskela, Pekka; Benedict, Sita
2
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
93
2014
Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019
Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás
14
2014
Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
9
2014
Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
8
2014
Generalized quasidisks and conformality. Zbl 1286.30021
Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani
8
2014
Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. Zbl 1288.35018
Jiang, Renjin; Koskela, Pekka; Yang, Dachun
6
2014
Generalized John disks. Zbl 1294.30037
Guo, Chang-Yu; Koskela, Pekka
5
2014
Solvability of the divergence equation implies John via Poincaré inequality. Zbl 1288.35189
Jiang, Renjin; Kauranen, Aapo; Koskela, Pekka
5
2014
Boundary blow-up under Sobolev mappings. Zbl 1312.26024
Kauranen, Aapo; Koskela, Pekka
5
2014
Gromov hyperbolicity and quasihyperbolic geodesics. (Hyperbolicité de Gromov et quasi-hyperbolique géodésique.) Zbl 1317.30085
Koskela, Pekka; Lammi, Päivi; Manojlović, Vesna
4
2014
Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029
Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan
39
2013
Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032
Hencl, Stanislav; Koskela, Pekka
8
2013
Gehring-Hayman theorem for conformal deformations. Zbl 1276.30040
Koskela, Pekka; Lammi, Päivi
4
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
28
2012
Luzin’s condition (N) and Sobolev mappings. Zbl 1257.26010
Koskela, Pekka; Malý, Jan; Zürcher, Thomas
6
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
Analytic properties of quasiconformal mappings between metric spaces. Zbl 1253.30035
Koskela, P.; Wildrick, K.
5
2012
Quasi-nearly subharmonic functions and quasiconformal mappings. Zbl 1252.31005
Koskela, Pekka; Manojlović, Vesna
4
2012
\(L^\infty\)-variational problem associated to Dirichlet forms. Zbl 1280.49028
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan
4
2012
Mappings of finite distortion: decay of the Jacobian. Zbl 1267.30065
Koskela, Pekka; Onninen, Jani; Rajala, Kai
2
2012
Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
62
2011
\(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006
Astala, Kari; Koskela, Pekka
6
2011
Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033
Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari
35
2010
A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
35
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
7
2010
Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025
Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari
5
2010
A note to “Mappings of finite distortion: formation of cusps. II”. Zbl 1234.30017
Koskela, Pekka; Takkinen, Juhani
4
2010
A Jordan Sobolev extension domain. Zbl 1209.46016
Koskela, Pekka; Yang, Dachun; Zhou, Yuan
3
2010
Planar mappings of finite distortion. Zbl 1206.26018
Koskela, Pekka
1
2010
Weighted pointwise Hardy inequalities. Zbl 1183.26026
Koskela, Pekka; Lehrbäck, Juha
16
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
61
2008
Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013
Koskela, Pekka; Saksman, Eero
44
2008
Measure density and extendability of Sobolev functions. Zbl 1226.46029
Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli
31
2008
Mappings of finite distortion: composition operator. Zbl 1139.26004
Hencl, Stanislav; Koskela, Pekka
6
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
21
2007
Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026
Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli
14
2007
Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014
Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari
13
2007
Mappings of finite distortion: formation of cusps. Zbl 1126.30012
Koskela, Pekka; Takkinen, Juhani
8
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
67
2006
Mappings of finite distortion: capacity and modulus inequalities. Zbl 1114.30021
Koskela, Pekka; Onninen, Jani
37
2006
Regularity of the inverse of a Sobolev homeomorphism in space. Zbl 1122.30015
Hencl, Stanislav; Koskela, Pekka; Malý, Jan
31
2006
Ends of metric measure spaces and Sobolev inequalities. Zbl 1086.58021
Buckley, Stephen M.; Koskela, Pekka
14
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
18
2005
Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024
Hencl, Stanislav; Koskela, Pekka
10
2005
Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings. Zbl 1092.30037
Hencl, Stanislav; Koskela, Pekka
7
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.
4
2005
A non-doubling Trudinger inequality. Zbl 1091.46019
Gogatishvili, Amiran; Koskela, Pekka
1
2005
Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005
Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T.
16
2004
Orlicz-Hardy inequalities. Zbl 1070.46018
Buckley, Stephen M.; Koskela, Pekka
15
2004
Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027
Coulhon, Thierry; Koskela, Pekka
3
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
35
2003
Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017
Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao
32
2003
Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006
Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari
29
2003
Hardy’s inequality and the boundary size. Zbl 1018.26008
Koskela, Pekka; Zhong, Xiao
24
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
16
2003
Mappings of finite distortion: Injectivity radius of a local homeomorphism. Zbl 1043.30009
Koskela, Pekka; Onninen, Jani; Rajala, Kai
12
2003
Mappings of finite distortion: The sharp modulus of continuity. Zbl 1027.30052
Koskela, Pekka; Onninen, Jani
11
2003
Mappings of finite distortion: removable singularities. Zbl 1115.30017
Koskela, Pekka; Rajala, Kai
4
2003
Sharp inequalities via truncation. Zbl 1019.26003
Koskela, Pekka; Onninen, Jani
3
2003
Metric definition of \(\mu\)-homeomorphisms. Zbl 1036.30014
Kallunki, S.; Koskela, P.
2
2003
Distributional inequalities for non-harmonic functions. Zbl 1054.42015
González, María J.; Koskela, Pekka; Llorente, José G.; Nicolau, Artur
2
2003
...and 69 more Documents
all top 5

Cited by 1,316 Authors

82 Koskela, Pekka
55 Shanmugalingam, Nageswari
55 Yang, Dachun
33 Björn, Jana
32 Onninen, Jani
31 Björn, Anders
30 Shimomura, Tetsu
28 Lahti, Panu
26 Hencl, Stanislav
24 Rodríguez García, José Manuel
24 Sevost’yanov, Yevgen Oleksandrovych
24 Yuan, Wen
23 Hajłasz, Piotr
22 Jiang, Renjin
22 Ukhlov, Alexander Dadar-Oolovich
21 Lehrbäck, Juha
20 Iwaniec, Tadeusz
20 Ryazanov, Vladimir Il’ich
18 Ambrosio, Luigi
18 Gol’dshtein, Vladimir Mikhailovich
18 Kinnunen, Juha
18 Tuominen, Heli
18 Zhou, Yuan
17 Byun, Sun-Sig
17 Guo, Changyu
17 Herron, David A.
17 Salimov, Ruslan Radikovich
17 Vodop’yanov, Sergeĭ Konstantinovich
16 Korte, Riikka
15 Górka, Przemysław
15 Mizuta, Yoshihiro
15 Ohno, Takao
15 Rajala, Kai
15 Tyson, Jeremy T.
15 Vähäkangas, Antti V.
14 Heinonen, Juha
14 Rajala, Tapio
13 Balogh, Zoltán M.
13 Gigli, Nicola
13 Marola, Niko
13 Sbordone, Carlo
12 Hurri-Syrjānen, Ritva
12 Zhong, Xiao
11 Buckley, Stephen M.
11 Li, Yaxiang
11 Malý, Jan
11 Parviainen, Mikko
11 Vuorinen, Matti Keijo Kustaa
11 Wenger, Stefan
10 Clop, Albert
10 Golberg, Anatoly
10 Kauranen, Aapo
10 Kleiner, Bruce
10 Pasqualetto, Enrico
10 Passarelli di Napoli, Antonia
10 Savaré, Giuseppe
10 Schiattarella, Roberta
10 Zürcher, Thomas
9 Adamowicz, Tomasz
9 Di Fazio, Giuseppe
9 Ding, Shusen
9 Futamura, Toshihide
9 Heikkinen, Toni
9 Martin, Gaven J.
9 Morbidelli, Daniele
9 Pankka, Pekka
9 Portilla, Ana
9 Soultanis, Elefterios
9 Zhou, Qingshan
8 Afanas’eva, Elena Sergeevna
8 Astala, Kari
8 Cheeger, Jeff
8 Cianchi, Andrea
8 Girela, Daniel
8 Gutlyanskiĭ, Vladimir Ya.
8 Harjulehto, Petteri
8 Kružík, Martin
8 Latvala, Visa
8 Lytchak, Alexander
8 Martio, Olli
8 Nieminen, Tomi
8 Touris, Eva
8 Wang, Xiantao
8 Xiao, Jie
8 Yakubov, Eduard H.
8 Zapadinskaya, Aleksandra
7 Auscher, Pascal
7 Capogna, Luca
7 Eriksson-Bique, Sylvester
7 Fässler, Katrin S.
7 Giova, Raffaella
7 Honda, Shouhei
7 Huang, Manzi
7 Kalaj, David
7 Karak, Nijjwal
7 Le Donne, Enrico
7 Manfredi, Juan J.
7 Miranda, Michele jun.
7 Nguyen Cong Phuc
7 Pestana, Domingo
...and 1,216 more Authors
all top 5

Cited in 237 Serials

99 Journal of Mathematical Analysis and Applications
76 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
68 Journal of Functional Analysis
65 Proceedings of the American Mathematical Society
64 Calculus of Variations and Partial Differential Equations
61 The Journal of Geometric Analysis
48 Potential Analysis
44 Transactions of the American Mathematical Society
39 Journal d’Analyse Mathématique
38 Advances in Mathematics
35 Annales Academiae Scientiarum Fennicae. Mathematica
33 Mathematische Zeitschrift
33 Complex Variables and Elliptic Equations
29 Archive for Rational Mechanics and Analysis
28 Journal of Differential Equations
28 Analysis and Geometry in Metric Spaces
27 Revista Matemática Iberoamericana
26 Conformal Geometry and Dynamics
25 Manuscripta Mathematica
25 Mathematische Annalen
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 Annali di Matematica Pura ed Applicata. Serie Quarta
21 Journal of Mathematical Sciences (New York)
19 Siberian Mathematical Journal
19 Acta Mathematica Sinica. English Series
18 Computational Methods and Function Theory
18 Annales Fennici Mathematici
16 Duke Mathematical Journal
15 Arkiv för Matematik
15 Illinois Journal of Mathematics
14 Complex Analysis and Operator Theory
13 Michigan Mathematical Journal
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
13 Geometric and Functional Analysis. GAFA
12 Inventiones Mathematicae
12 Revista Matemática Complutense
11 Israel Journal of Mathematics
10 Annales de l’Institut Fourier
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
10 Communications in Contemporary Mathematics
10 Advances in Calculus of Variations
9 Journal für die Reine und Angewandte Mathematik
9 Journal of Inequalities and Applications
9 Science China. Mathematics
9 Analysis and Mathematical Physics
8 Tohoku Mathematical Journal. Second Series
8 St. Petersburg Mathematical Journal
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 Studia Mathematica
7 Ukrainian Mathematical Journal
7 Geometriae Dedicata
7 Mathematische Nachrichten
7 Memoirs of the American Mathematical Society
7 Bulletin des Sciences Mathématiques
7 Central European Journal of Mathematics
7 Journal of Fixed Point Theory and Applications
7 Journal of Function Spaces
6 Integral Equations and Operator Theory
6 Journal of the Mathematical Society of Japan
6 Results in Mathematics
6 Zeitschrift für Analysis und ihre Anwendungen
6 SIAM Journal on Mathematical Analysis
6 Doklady Mathematics
6 Abstract and Applied Analysis
6 Journal of the European Mathematical Society (JEMS)
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Complex Analysis and its Synergies
5 Acta Mathematica
5 Canadian Mathematical Bulletin
5 Collectanea Mathematica
5 Indiana University Mathematics Journal
5 Ricerche di Matematica
5 Forum Mathematicum
5 Expositiones Mathematicae
5 NoDEA. Nonlinear Differential Equations and Applications
5 The Journal of Fourier Analysis and Applications
5 Annals of Mathematics. Second Series
5 Lobachevskii Journal of Mathematics
5 Journal of the Australian Mathematical Society
5 Mediterranean Journal of Mathematics
5 Discrete and Continuous Dynamical Systems. Series S
4 Mathematical Notes
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Archiv der Mathematik
4 Czechoslovak Mathematical Journal
4 Monatshefte für Mathematik
4 Osaka Journal of Mathematics
4 Proceedings of the Japan Academy. Series A
4 Proceedings of the London Mathematical Society. Third Series
4 SIAM Journal on Control and Optimization
4 Ergodic Theory and Dynamical Systems
4 Journal of the American Mathematical Society
4 Communications in Partial Differential Equations
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Geometry & Topology
4 Journal of Evolution Equations
4 Communications on Pure and Applied Analysis
4 Frontiers of Mathematics in China
4 Annals of Functional Analysis
...and 137 more Serials
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Cited in 49 Fields

657 Functions of a complex variable (30-XX)
591 Functional analysis (46-XX)
432 Partial differential equations (35-XX)
258 Potential theory (31-XX)
230 Real functions (26-XX)
228 Differential geometry (53-XX)
191 Harmonic analysis on Euclidean spaces (42-XX)
165 Calculus of variations and optimal control; optimization (49-XX)
137 Global analysis, analysis on manifolds (58-XX)
134 Measure and integration (28-XX)
104 Operator theory (47-XX)
50 Abstract harmonic analysis (43-XX)
42 General topology (54-XX)
40 Topological groups, Lie groups (22-XX)
38 Dynamical systems and ergodic theory (37-XX)
35 Probability theory and stochastic processes (60-XX)
35 Mechanics of deformable solids (74-XX)
27 Several complex variables and analytic spaces (32-XX)
27 Geometry (51-XX)
24 Combinatorics (05-XX)
20 Manifolds and cell complexes (57-XX)
18 Group theory and generalizations (20-XX)
11 Approximations and expansions (41-XX)
9 Convex and discrete geometry (52-XX)
8 Fluid mechanics (76-XX)
7 Ordinary differential equations (34-XX)
7 Algebraic topology (55-XX)
6 Numerical analysis (65-XX)
5 Difference and functional equations (39-XX)
5 Computer science (68-XX)
5 Quantum theory (81-XX)
4 Number theory (11-XX)
4 Mechanics of particles and systems (70-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Optics, electromagnetic theory (78-XX)
3 Operations research, mathematical programming (90-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Integral transforms, operational calculus (44-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 Mathematical logic and foundations (03-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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