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: 193 Publications since 1990, including 5 Books and 6 Additional arXiv Preprints 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 85 Co-Authors with 181 Joint Publications 1,734 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 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 all top 5 Fields 112 Functions of a complex variable (30-XX) 79 Functional analysis (46-XX) 38 Real functions (26-XX) 28 Partial differential equations (35-XX) 25 Potential theory (31-XX) 12 Measure and integration (28-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 General topology (54-XX) 3 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-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 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 270 Serials 108 Journal of Mathematical Analysis and Applications 87 Journal of Functional Analysis 84 Nonlinear Analysis. 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Razmadze Mathematical Institute 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Archiv der Mathematik ...and 170 more Serials all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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