Edit Profile (opens in new tab) Koskela, Pekka Co-Author Distance Author ID: koskela.pekka Published as: Koskela, Pekka; Koskela, P. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 198 Publications since 1990, including 5 Books and 7 Additional arXiv Preprints 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 91 Co-Authors with 187 Joint Publications 1,659 Co-Co-Authors 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 7 Zhu, Zheng 6 Zhang, Yi Ru-Ya 5 Iwaniec, Tadeusz 5 Jiang, Renjin 5 Lubinsky, Doron S. 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 Martio, Olli 4 Nieminen, Tomi 4 Rajala, Kai 4 Takkinen, Juhani 4 Zürcher, Thomas 3 Astala, Kari 3 Bonk, Mario 3 Gogatishvili, Amiran 3 Karak, Nijjwal 3 Kauranen, Aapo 3 Martin, Gaven J. 3 Masaoka, Hiroaki 3 Nandi, Debanjan 3 Saksman, Eero 3 Wildrick, Kevin 2 Balogh, Zoltán M. 2 Benedict, Sita 2 Bouchala, Ondřej 2 Coulhon, Thierry 2 Eriksson-Bique, Sylvester 2 González, María José 2 Heikkinen, Toni 2 Kallunki, Sari 2 Lammi, Päivi 2 Lehrbäck, Juha 2 Lu, Guozhen 2 Todorčević, Vesna 2 Mishra, Riddhi 2 Nicolau, Artur 2 Rajala, Tapio 2 Rogovin, Sari 2 Rohde, Steffen 2 Soto, Tomás 2 Xu, Haiqing 1 Agarwal, Angha 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 Jääskeläinen, Jarmo 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 Mohanta, Kaushik 1 Pankka, Pekka 1 Reitich, Fernando 1 Sahoo, Swadesh Kumar 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 ZhengZhu 1 Zhou, Xilin all top 5 Serials 12 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 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 Mathematical Sciences (New York) 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 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 Colloquium Mathematicum 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 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 all top 5 Fields 116 Functions of a complex variable (30-XX) 84 Functional analysis (46-XX) 40 Real functions (26-XX) 28 Partial differential equations (35-XX) 25 Potential theory (31-XX) 12 Measure and integration (28-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 General topology (54-XX) 2 History and biography (01-XX) 2 Mechanics of deformable solids (74-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 178 Publications have been cited 4,988 times in 2,372 Documents Cited by ▼ Year ▼ Sobolev met Poincaré. Zbl 0954.46022 Hajłasz, Piotr; Koskela, Pekka 572 2000 Quasiconformal maps in metric spaces with controlled geometry. Zbl 0915.30018 Heinonen, Juha; Koskela, Pekka 485 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. 376 2015 Lectures on mappings of finite distortion. Zbl 1293.30051 Hencl, Stanislav; Koskela, Pekka 155 2014 Uniformizing Gromov hyperbolic spaces. Zbl 0970.30010 Bonk, Mario; Heinonen, Juha; Koskela, Pekka 132 2001 Quasiconformal mappings and Sobolev spaces. Zbl 0918.30011 Koskela, Pekka; MacManus, Paul 129 1998 Sobolev meets Poincaré. Zbl 0837.46024 Hajłasz, Piotr; Koskela, Pekka 107 1995 Sobolev classes of Banach space-valued functions and quasiconformal mappings. Zbl 1013.46023 Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 100 2001 Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019 Koskela, Pekka; Yang, Dachun; Zhou, Yuan 99 2011 Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029 Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 86 2008 Definitions of Sobolev classes on metric spaces. Zbl 0938.46037 Franchi, Bruno; Hajłasz, Piotr; Koskela, Pekka 81 1999 Mappings of finite distortion: Monotonicity and continuity. Zbl 1006.30016 Iwaniec, Tadeusz; Koskela, Pekka; Onninen, Jani 78 2001 Regularity of the inverse of a planar Sobolev homeomorphism. Zbl 1151.30325 Hencl, Stanislav; Koskela, Pekka 78 2006 Definitions of quasiconformality. Zbl 0832.30013 Heinonen, Juha; Koskela, Pekka 77 1995 Global integrability of the gradients of solutions to partial differential equations. Zbl 0820.35064 Kilpeläinen, T.; Koskela, P. 65 1994 Sobolev-Poincaré implies John. Zbl 0847.30012 Buckley, S.; Koskela, P. 61 1995 Mappings of finite distortion: Condition \(N\). Zbl 0997.30018 Kauhanen, Janne; Koskela, Pekka; Malý, Jan 60 2001 On functions with derivatives in a Lorentz space. Zbl 0976.26004 Kauhanen, Janne; Koskela, Pekka; Malý, Jan 56 1999 Isoperimetric inequalities and imbedding theorems in irregular domains. Zbl 0922.46034 Hajłasz, Piotr; Koskela, Pekka 54 1998 Mappings of \(BMO\)-bounded distortion. Zbl 0954.30009 Astala, Kari; Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven 52 2000 Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029 Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan 51 2013 Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013 Koskela, Pekka; Saksman, Eero 49 2008 Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033 Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari 47 2010 Mappings of finite distortion: Discreteness and openness. Zbl 0998.30024 Kauhanen, Janne; Koskela, Pekka; Malý, Jan 47 2001 Sobolev mappings with integrable dilatations. Zbl 0792.30016 Heinonen, Juha; Koskela, Pekka 46 1993 A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034 Koskela, Pekka; Yang, Dachun; Zhou, Yuan 46 2010 Hausdorff dimension and mean porosity. Zbl 0890.30013 Koskela, Pekka; Rohde, Steffen 43 1997 Measure density and extendability of Sobolev functions. Zbl 1226.46029 Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 42 2008 Mappings of finite distortion: capacity and modulus inequalities. Zbl 1114.30021 Koskela, Pekka; Onninen, Jani 42 2006 Mappings of finite distortion: The zero set of the Jacobian. Zbl 1025.30019 Koskela, Pekka; Malý, Jan 39 2003 Geometry and analysis of Dirichlet forms. Zbl 1253.53035 Koskela, Pekka; Zhou, Yuan 37 2012 Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017 Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao 36 2003 Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006 Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari 35 2003 Regularity of the inverse of a Sobolev homeomorphism in space. Zbl 1122.30015 Hencl, Stanislav; Koskela, Pekka; Malý, Jan 34 2006 Fractional integration, differentiation, and weighted Bergman spaces. Zbl 0930.42007 Buckley, Stephen M.; Koskela, Pekka; Vukotić, Dragan 34 1999 Mappings of BMO-distortion and Beltrami-type operators. Zbl 1028.30015 Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven 32 2002 Removable sets for Sobolev spaces. Zbl 1070.46502 Koskela, Pekka 32 1999 Regularity theory and traces of \({\mathcal A}\)-harmonic functions. Zbl 0849.31015 Koskela, Pekka; Manfredi, Juan J.; Villamor, Enrique 30 1996 Weighted Sobolev and Poincaré inequalities and quasiregular mappings of polynomial type. Zbl 0860.30018 Heinonen, Juha; Koskela, Pekka 30 1995 Uniform, Sobolev extension and quasiconformal circle domains. Zbl 0776.30014 Herron, David A.; Koskela, Pekka 29 1991 Boman equals John. Zbl 0861.43007 Buckley, S.; Koskela, P.; Lu, Guozhen 29 1996 Quasiconformal mappings and global integrability of the derivative. Zbl 0772.30022 Astala, Kari; Koskela, Pekka 28 1991 From local to global in quasiconformal structures. Zbl 0842.30016 Heinonen, Juha; Koskela, Pekka 27 1996 Hardy’s inequality and the boundary size. Zbl 1018.26008 Koskela, Pekka; Zhong, Xiao 27 2003 Quasihyperbolic boundary conditions and Poincaré domains. Zbl 1007.30029 Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T. 27 2002 Extensions and imbeddings. Zbl 0924.46031 Koskela, P. 25 1998 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041 Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 25 2020 Homeomorphisms of bounded variation. Zbl 1155.26007 Hencl, Stanislav; Koskela, Pekka; Onninen, Jani 24 2007 Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi Väisälä. Zbl 1072.30503 Balogh, Zoltán M.; Koskela, Pekka 24 2000 Mappings of finite distortion: the degree of regularity. Zbl 1075.30012 Faraco, Daniel; Koskela, Pekka; Zhong, Xiao 24 2005 A note on Lipschitz functions, upper gradients, and the Poincaré inequality. Zbl 1015.46020 Heinonen, Juha; Koskela, Pekka 23 1999 Conformal metrics on the unit ball in Euclidean space. Zbl 0916.30017 Bonk, Mario; Koskela, Pekka; Rohde, Steffen 22 1998 Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014 Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari 21 2007 A note on extremal mappings of finite distortion. Zbl 1079.30024 Hencl, Stanislav; Koskela, Pekka; Onninen, Jani 21 2005 Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026 Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 21 2007 Capacity extension domains. Zbl 0699.31011 Koskela, Pekka 21 1990 Weighted pointwise Hardy inequalities. Zbl 1183.26026 Koskela, Pekka; Lehrbäck, Juha 21 2009 Criteria for imbeddings of Sobolev-Poincaré type. Zbl 0884.46025 Buckley, Stephen M.; Koskela, Pekka 20 1996 Quasiextremal distance domains and conformal mappings onto circle domains. Zbl 0682.30011 Herron, David A.; Koskela, Pekka 20 1990 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. 19 2004 Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010 Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C. 19 2003 Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019 Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás 19 2014 Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings. Zbl 1096.30503 Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T. 18 2001 Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions. Zbl 1369.46028 Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 18 2017 Mappings of finite distortion: gauge dimension of generalized quasicircles. Zbl 1050.30012 Herron, David A.; Koskela, Pekka 17 2003 Volume growth and parabolicity. Zbl 0998.58024 Holopainen, Ilkka; Koskela, Pekka 16 2001 Ends of metric measure spaces and Sobolev inequalities. Zbl 1086.58021 Buckley, Stephen M.; Koskela, Pekka 15 2006 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. 15 2000 Exceptional sets for the definition of quasiconformality. Zbl 0954.30008 Kallunki, Sari; Koskela, Pekka 14 2000 A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017 Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan 14 2017 Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015 Koskela, Pekka; Martio, Olli 13 1993 Uniform and Sobolev extension domains. Zbl 0757.30022 Herron, David A.; Koskela, Pekka 13 1992 Mappings of finite distortion: Injectivity radius of a local homeomorphism. Zbl 1043.30009 Koskela, Pekka; Onninen, Jani; Rajala, Kai 13 2003 Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032 Hencl, Stanislav; Koskela, Pekka 12 2013 Minimal assumptions for the integrability of the Jacobian. Zbl 1096.26005 Zhong, Xiao; Koskela, Pekka 12 2002 Generalized quasidisks and conformality. Zbl 1286.30021 Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani 12 2014 Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025 Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari 12 2010 Morrey-Sobolev extension domains. Zbl 1371.42028 Koskela, Pekka; Zhang, Yi Ru-Ya; Zhou, Yuan 12 2017 Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 12 2014 A density problem for Sobolev spaces on Gromov hyperbolic domains. Zbl 1371.46028 Koskela, Pekka; Rajala, Tapio; Zhang, Yi Ru-Ya 12 2017 Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024 Hencl, Stanislav; Koskela, Pekka 11 2005 Conformal capacity and the quasihyperbolic metric. Zbl 0862.30021 Herron, David A.; Koskela, Pekka 11 1996 Mappings of finite distortion: formation of cusps. Zbl 1126.30012 Koskela, Pekka; Takkinen, Juhani 11 2007 \(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006 Astala, Kari; Koskela, Pekka 11 2011 Mappings of finite distortion: The sharp modulus of continuity. Zbl 1027.30052 Koskela, Pekka; Onninen, Jani 11 2003 Generalized John disks. Zbl 1294.30037 Guo, Chang-Yu; Koskela, Pekka 11 2014 Linear dilatation and absolute continuity. Zbl 1082.30015 Koskela, P.; Rogovin, S. 10 2005 Mappings of finite distortion: formation of cusps. III. Zbl 1195.30034 Koskela, Pekka; Takkinen, Juhani 10 2010 The degree of regularity of a quasiconformal mapping. Zbl 0814.30015 Koskela, Pekka 10 1994 Mappings of finite distortion: generalized Hausdorff dimension distortion. Zbl 1205.30017 Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas 10 2010 Traces of weighted function spaces: dyadic norms and Whitney extensions. Zbl 1406.46024 Koskela, Pekka; Soto, Tomás; Wang, Zhuang 10 2017 Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. Zbl 1288.35018 Jiang, Renjin; Koskela, Pekka; Yang, Dachun 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 Mappings of finite distortion: composition operator. Zbl 1139.26004 Hencl, Stanislav; Koskela, Pekka 9 2008 Old and new on the quasihyperbolic metric. Zbl 0888.30019 Koskela, Pekka 9 1998 Quasiconformal removability and the quasihyperbolic metric. Zbl 1078.30016 Koskela, Pekka; Nieminen, Tomi 9 2005 Sobolev-Poincaré inequalities for \(p<1\). Zbl 0812.35039 Buckley, Stephen M.; Koskela, Pekka 9 1994 A density problem for Sobolev spaces on planar domains. Zbl 1360.46030 Koskela, Pekka; Zhang, Yi Ru-Ya 9 2016 The extension property for domains with one singular point. Zbl 1546.46029 Koskela, Pekka; Zhu, Zheng 1 2024 Existence and uniqueness of limits at infinity for homogeneous Sobolev functions. Zbl 1534.46037 Koskela, Pekka; Nguyen, Khanh 2 2023 Trace and density results on regular trees. Zbl 1498.46049 Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang 6 2022 Sobolev extensions via reflections. Zbl 1516.46022 Koskela, P.; Zhu, Z. 3 2022 The volume of the boundary of a Sobolev \((p,q)\)-extension domain. Zbl 1503.46034 Koskela, Pekka; Ukhlov, Alexander; Zhu, Zheng 3 2022 On limits at infinity of weighted Sobolev functions. Zbl 1504.46039 Eriksson-Bique, Sylvester; Koskela, Pekka; Nguyen, Khanh 3 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 25 2020 Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044 Koskela, Pekka; Wang, Zhuang 8 2020 Trace operators on regular trees. Zbl 1478.46041 Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang 7 2020 Sobolev homeomorphic extensions onto John domains. Zbl 1475.30049 Koskela, Pekka; Koski, Aleksis; Onninen, Jani 7 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 3 2018 Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions. Zbl 1369.46028 Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 18 2017 A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017 Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan 14 2017 Morrey-Sobolev extension domains. Zbl 1371.42028 Koskela, Pekka; 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 12 2017 Traces of weighted function spaces: dyadic norms and Whitney extensions. Zbl 1406.46024 Koskela, Pekka; Soto, Tomás; Wang, Zhuang 10 2017 Sharpness of uniform continuity of quasiconformal mappings onto \(s\)-John domains. Zbl 1361.30035 Guo, Chang-Yu; Koskela, Pekka 3 2017 A density problem for Sobolev spaces on planar domains. Zbl 1360.46030 Koskela, Pekka; Zhang, Yi Ru-Ya 9 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. 376 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 4 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 3 2015 Lattice property of \(p\)-admissible weights. Zbl 1337.46026 Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki 3 2015 Lebesgue points via the Poincaré inequality. Zbl 1342.46035 Karak, Nijjwal; Koskela, Pekka 2 2015 Dimension gap under Sobolev mappings. Zbl 1370.46019 Koskela, Pekka; Zapadinskaya, Aleksandra 2 2015 Capacities and Hausdorff measures on metric spaces. Zbl 1325.31004 Karak, Nijjwal; Koskela, Pekka 1 2015 Lectures on mappings of finite distortion. Zbl 1293.30051 Hencl, Stanislav; Koskela, Pekka 155 2014 Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019 Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás 19 2014 Generalized quasidisks and conformality. Zbl 1286.30021 Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani 12 2014 Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 12 2014 Generalized John disks. Zbl 1294.30037 Guo, Chang-Yu; Koskela, Pekka 11 2014 Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. Zbl 1288.35018 Jiang, Renjin; Koskela, Pekka; Yang, Dachun 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 Gromov hyperbolicity and quasihyperbolic geodesics. (Hyperbolicité de Gromov et quasi-hyperbolique géodésique.) Zbl 1317.30085 Koskela, Pekka; Lammi, Päivi; Manojlović, Vesna 8 2014 Solvability of the divergence equation implies John via Poincaré inequality. Zbl 1288.35189 Jiang, Renjin; Kauranen, Aapo; Koskela, Pekka 7 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 51 2013 Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032 Hencl, Stanislav; Koskela, Pekka 12 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 37 2012 Luzin’s condition (N) and Sobolev mappings. Zbl 1257.26010 Koskela, Pekka; Malý, Jan; Zürcher, Thomas 8 2012 Dimension gap under conformal mappings. Zbl 1253.30034 Hencl, Stanislav; Koskela, Pekka; Nieminen, Tomi 7 2012 Analytic properties of quasiconformal mappings between metric spaces. Zbl 1253.30035 Koskela, P.; Wildrick, K. 7 2012 \(L^\infty\)-variational problem associated to Dirichlet forms. Zbl 1280.49028 Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 6 2012 Isoperimetric inequality from the Poisson equation via curvature. Zbl 1247.53045 Jiang, Renjin; Koskela, Pekka 6 2012 Mappings of finite distortion: decay of the Jacobian. Zbl 1267.30065 Koskela, Pekka; Onninen, Jani; Rajala, Kai 5 2012 Quasi-nearly subharmonic functions and quasiconformal mappings. Zbl 1252.31005 Koskela, Pekka; Manojlović, Vesna 5 2012 Continuity of solutions to \(n\)-harmonic equations. Zbl 1250.35097 Jiang, Renjin; Koskela, Pekka; Yang, Dachun 5 2012 Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019 Koskela, Pekka; Yang, Dachun; Zhou, Yuan 99 2011 \(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006 Astala, Kari; Koskela, Pekka 11 2011 Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033 Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari 47 2010 A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034 Koskela, Pekka; Yang, Dachun; Zhou, Yuan 46 2010 Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025 Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari 12 2010 Mappings of finite distortion: formation of cusps. III. Zbl 1195.30034 Koskela, Pekka; Takkinen, Juhani 10 2010 Mappings of finite distortion: generalized Hausdorff dimension distortion. Zbl 1205.30017 Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas 10 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 21 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 86 2008 Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013 Koskela, Pekka; Saksman, Eero 49 2008 Measure density and extendability of Sobolev functions. Zbl 1226.46029 Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 42 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 7 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 4 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 24 2007 Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014 Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari 21 2007 Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026 Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 21 2007 Mappings of finite distortion: formation of cusps. Zbl 1126.30012 Koskela, Pekka; Takkinen, Juhani 11 2007 Mappings of finite distortion: reverse inequalities for the Jacobian. Zbl 1126.30014 Hencl, Stanislav; Koskela, Pekka; Zhong, Xiao 5 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 78 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 34 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 24 2005 A note on extremal mappings of finite distortion. Zbl 1079.30024 Hencl, Stanislav; Koskela, Pekka; Onninen, Jani 21 2005 Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024 Hencl, Stanislav; Koskela, Pekka 11 2005 Linear dilatation and absolute continuity. Zbl 1082.30015 Koskela, P.; Rogovin, S. 10 2005 Quasiconformal removability and the quasihyperbolic metric. Zbl 1078.30016 Koskela, Pekka; Nieminen, Tomi 9 2005 Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings. Zbl 1092.30037 Hencl, Stanislav; Koskela, Pekka 9 2005 A non-doubling Trudinger inequality. Zbl 1091.46019 Gogatishvili, Amiran; Koskela, Pekka 2 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. 19 2004 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027 Coulhon, Thierry; Koskela, Pekka 5 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 Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017 Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao 36 2003 Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006 Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari 35 2003 ...and 78 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,682 Authors 92 Koskela, Pekka 73 Yang, Dachun 65 Shanmugalingam, Nageswari 44 Shimomura, Tetsu 43 Onninen, Jani 42 Björn, Jana 40 Björn, Anders 40 Lahti, Panu 39 Yuan, Wen 37 Ukhlov, Alexander Dadar-Oolovich 36 Sevost’yanov, Yevgen Oleksandrovych 32 Hencl, Stanislav 28 Zhou, Qingshan 26 Gol’dshtein, Vladimir Mikhailovich 26 Hajłasz, Piotr 25 Byun, Sun-Sig 25 Ohno, Takao 24 Jiang, Renjin 24 Rodríguez García, José Manuel 23 Ambrosio, Luigi 23 Iwaniec, Tadeusz 23 Lehrbäck, Juha 23 Rajala, Tapio 22 Kinnunen, Juha 22 Vodop’yanov, Sergeĭ Konstantinovich 21 Ryazanov, Vladimir Il’ich 20 Eriksson-Bique, Sylvester 20 Gigli, Nicola 20 Guo, Changyu 20 Salimov, Ruslan Radikovich 20 Zhou, Yuan 19 Górka, Przemysław 19 Herron, David A. 19 Korte, Riikka 19 Rajala, Kai 18 Pasqualetto, Enrico 18 Tuominen, Heli 18 Vähäkangas, Antti V. 17 Hurri-Syrjānen, Ritva 16 Cianchi, Andrea 16 Mizuta, Yoshihiro 16 Tyson, Jeremy T. 15 Golberg, Anatoly 14 Balogh, Zoltán M. 14 Heinonen, Juha 14 Huang, Manzi 14 Ponnusamy, Saminathan 14 Soultanis, Elefterios 13 Honda, Shouhei 13 Karak, Nijjwal 13 Li, Yaxiang 13 Malý, Jan 13 Marola, Niko 13 Martin, Gaven J. 13 Savaré, Giuseppe 13 Sbordone, Carlo 13 Wang, Xiantao 13 Zhu, Zheng 12 Adamowicz, Tomasz 12 Ding, Shusen 12 Futamura, Toshihide 12 Vuorinen, Matti Keijo Kustaa 12 Wenger, Stefan 12 Zhong, Xiao 11 Afanas’eva, Elena Sergeevna 11 Baudoin, Fabrice 11 Buckley, Stephen M. 11 Clop, Albert 11 Kauranen, Aapo 11 Koski, Aleksis 11 Lytchak, Alexander 11 Maz’ya, Vladimir Gilelevich 11 Pankka, Pekka 11 Parviainen, Mikko 11 Pchelintsev, Valery Anatol’evich 11 Pinamonti, Andrea 11 Rasila, Antti 11 Wang, Zhuang 10 Astala, Kari 10 Capogna, Luca 10 Di Fazio, Giuseppe 10 Gutlyanskiĭ, Vladimir Ya. 10 Kleiner, Bruce 10 Latvala, Visa 10 Le Donne, Enrico 10 Lučić, Danka 10 Martio, Olli 10 Ntalampekos, Dimitrios 10 Passarelli di Napoli, Antonia 10 Schiattarella, Roberta 10 Yang, Shanshuang 10 Zhang, Huichun 10 Zürcher, Thomas 9 Cheeger, Jeff 9 D’Onofrio, Luigi 9 Guan, Tiantian 9 Heikkinen, Toni 9 Kalaj, David 9 Kružík, Martin 9 Li, Xining ...and 1,582 more Authors all top 5 Cited in 291 Serials 115 Journal of Mathematical Analysis and Applications 93 Journal of Functional Analysis 90 The Journal of Geometric Analysis 88 Nonlinear Analysis. 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Second Series 5 Lobachevskii Journal of Mathematics 5 Journal of the Australian Mathematical Society ...and 191 more Serials all top 5 Cited in 50 Fields 878 Functions of a complex variable (30-XX) 812 Functional analysis (46-XX) 599 Partial differential equations (35-XX) 337 Potential theory (31-XX) 326 Real functions (26-XX) 307 Differential geometry (53-XX) 254 Harmonic analysis on Euclidean spaces (42-XX) 215 Calculus of variations and optimal control; optimization (49-XX) 190 Measure and integration (28-XX) 184 Global analysis, analysis on manifolds (58-XX) 143 Operator theory (47-XX) 66 Abstract harmonic analysis (43-XX) 54 Topological groups, Lie groups (22-XX) 48 Dynamical systems and ergodic theory (37-XX) 48 General topology (54-XX) 47 Probability theory and stochastic processes (60-XX) 46 Geometry (51-XX) 46 Mechanics of deformable solids (74-XX) 34 Several complex variables and analytic spaces (32-XX) 29 Combinatorics (05-XX) 24 Manifolds and cell complexes (57-XX) 22 Group theory and generalizations (20-XX) 15 Approximations and expansions (41-XX) 12 Convex and discrete geometry (52-XX) 12 Fluid mechanics (76-XX) 11 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 9 Difference and functional equations (39-XX) 9 Quantum theory (81-XX) 8 Algebraic topology (55-XX) 6 Computer science (68-XX) 5 Number theory (11-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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