Edit Profile (opens in new tab) Koskela, Pekka Compute Distance To: Compute Author ID: 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 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 5 Iwaniec, Tadeusz 5 Jiang, Renjin 5 Lubinsky, Doron S. 5 Tuominen, Heli 5 Tyson, Jeremy T. 5 Wang, Zhuang 5 Yang, Dachun 5 Zapadinskaya, Aleksandra 5 Zhong, Xiao 4 Kauhanen, Janne 4 Martio, Olli 4 Nieminen, Tomi 4 Rajala, Kai 4 Takkinen, Juhani 4 Zhang, Yi Ru-Ya 4 Zürcher, Thomas 3 Astala, Kari 3 Bonk, Mario 3 Gogatishvili, Amiran 3 Guo, Changyu 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 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 Nguyen, Khanh Ngoc 2 Nicolau, Artur 2 Rogovin, Sari 2 Rohde, Steffen 2 Soto, Tomás 2 Zhu, Zheng 1 Clop, Albert 1 Eriksson-Bique, Sylvester 1 Faraco, Daniel 1 Fässler, Katrin S. 1 Franchi, Bruno 1 González Llorente, José 1 Holopainen, Ilkka 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 Nandi, Debanjan 1 Rajala, Tapio 1 Reitich, Fernando 1 Sbordone, Carlo 1 Sikora, Adam S. 1 Stanoyevitch, Alexander 1 Tossavainen, Timo 1 Troyanov, Marc 1 Väisälä, Jussi 1 Villamor, Enrique 1 Vukotić, Dragan 1 Xiao, Jie 1 Xu, Haiqing 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 all top 5 Fields 108 Functions of a complex variable (30-XX) 73 Functional analysis (46-XX) 36 Real functions (26-XX) 28 Partial differential equations (35-XX) 23 Potential theory (31-XX) 12 Measure and integration (28-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 6 General and overarching topics; collections (00-XX) 6 Differential geometry (53-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 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 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 169 Publications have been cited 3,672 times in 1,763 Documents Cited by ▼ Year ▼ Sobolev met Poincaré. Zbl 0954.46022Hajłasz, Piotr; Koskela, Pekka 386 2000 Quasiconformal maps in metric spaces with controlled geometry. Zbl 0915.30018Heinonen, Juha; Koskela, Pekka 368 1998 Sobolev spaces on metric measure spaces. An approach based on upper gradients. Zbl 1332.46001Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 203 2015 Quasiconformal mappings and Sobolev spaces. Zbl 0918.30011Koskela, Pekka; MacManus, Paul 101 1998 Uniformizing Gromov hyperbolic spaces. Zbl 0970.30010Bonk, Mario; Heinonen, Juha; Koskela, Pekka 98 2001 Lectures on mappings of finite distortion. Zbl 1293.30051Hencl, Stanislav; Koskela, Pekka 93 2014 Sobolev meets Poincaré. Zbl 0837.46024Hajłasz, Piotr; Koskela, Pekka 91 1995 Sobolev classes of Banach space-valued functions and quasiconformal mappings. Zbl 1013.46023Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 78 2001 Definitions of Sobolev classes on metric spaces. Zbl 0938.46037Franchi, Bruno; Hajłasz, Piotr; Koskela, Pekka 68 1999 Mappings of finite distortion: Monotonicity and continuity. Zbl 1006.30016Iwaniec, Tadeusz; Koskela, Pekka; Onninen, Jani 68 2001 Regularity of the inverse of a planar Sobolev homeomorphism. Zbl 1151.30325Hencl, Stanislav; Koskela, Pekka 67 2006 Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019Koskela, Pekka; Yang, Dachun; Zhou, Yuan 62 2011 Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 61 2008 Definitions of quasiconformality. Zbl 0832.30013Heinonen, Juha; Koskela, Pekka 59 1995 Mappings of finite distortion: Condition \(N\). Zbl 0997.30018Kauhanen, Janne; Koskela, Pekka; Malý, Jan 58 2001 On functions with derivatives in a Lorentz space. Zbl 0976.26004Kauhanen, Janne; Koskela, Pekka; Malý, Jan 52 1999 Global integrability of the gradients of solutions to partial differential equations. Zbl 0820.35064Kilpeläinen, T.; Koskela, P. 51 1994 Sobolev-Poincaré implies John. Zbl 0847.30012Buckley, S.; Koskela, P. 47 1995 Mappings of \(BMO\)-bounded distortion. Zbl 0954.30009Astala, Kari; Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven 46 2000 Sobolev mappings with integrable dilatations. Zbl 0792.30016Heinonen, Juha; Koskela, Pekka 45 1993 Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013Koskela, Pekka; Saksman, Eero 44 2008 Mappings of finite distortion: Discreteness and openness. Zbl 0998.30024Kauhanen, Janne; Koskela, Pekka; Malý, Jan 42 2001 Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan 39 2013 Mappings of finite distortion: capacity and modulus inequalities. Zbl 1114.30021Koskela, Pekka; Onninen, Jani 37 2006 Mappings of finite distortion: The zero set of the Jacobian. Zbl 1025.30019Koskela, Pekka; Malý, Jan 35 2003 Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari 35 2010 A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034Koskela, Pekka; Yang, Dachun; Zhou, Yuan 35 2010 Hausdorff dimension and mean porosity. Zbl 0890.30013Koskela, Pekka; Rohde, Steffen 33 1997 Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao 32 2003 Regularity of the inverse of a Sobolev homeomorphism in space. Zbl 1122.30015Hencl, Stanislav; Koskela, Pekka; Malý, Jan 31 2006 Measure density and extendability of Sobolev functions. Zbl 1226.46029Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 31 2008 Weighted Sobolev and Poincaré inequalities and quasiregular mappings of polynomial type. Zbl 0860.30018Heinonen, Juha; Koskela, Pekka 29 1995 Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari 29 2003 Regularity theory and traces of \({\mathcal A}\)-harmonic functions. Zbl 0849.31015Koskela, Pekka; Manfredi, Juan J.; Villamor, Enrique 28 1996 Mappings of BMO-distortion and Beltrami-type operators. Zbl 1028.30015Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven 28 2002 Removable sets for Sobolev spaces. Zbl 1070.46502Koskela, Pekka 28 1999 Geometry and analysis of Dirichlet forms. Zbl 1253.53035Koskela, Pekka; Zhou, Yuan 28 2012 Fractional integration, differentiation, and weighted Bergman spaces. Zbl 0930.42007Buckley, Stephen M.; Koskela, Pekka; Vukotić, Dragan 27 1999 From local to global in quasiconformal structures. Zbl 0842.30016Heinonen, Juha; Koskela, Pekka 25 1996 Hardy’s inequality and the boundary size. Zbl 1018.26008Koskela, Pekka; Zhong, Xiao 24 2003 Mappings of finite distortion: the degree of regularity. Zbl 1075.30012Faraco, Daniel; Koskela, Pekka; Zhong, Xiao 23 2005 Quasiconformal mappings and global integrability of the derivative. Zbl 0772.30022Astala, Kari; Koskela, Pekka 22 1991 Quasihyperbolic boundary conditions and Poincaré domains. Zbl 1007.30029Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T. 21 2002 Homeomorphisms of bounded variation. Zbl 1155.26007Hencl, Stanislav; Koskela, Pekka; Onninen, Jani 21 2007 Isoperimetric inequalities and imbedding theorems in irregular domains. Zbl 0922.46034Hajłasz, Piotr; Koskela, Pekka 20 1998 Conformal metrics on the unit ball in Euclidean space. Zbl 0916.30017Bonk, Mario; Koskela, Pekka; Rohde, Steffen 20 1998 A note on Lipschitz functions, upper gradients, and the Poincaré inequality. Zbl 1015.46020Heinonen, Juha; Koskela, Pekka 19 1999 Extensions and imbeddings. Zbl 0924.46031Koskela, P. 19 1998 Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C. 19 2003 Criteria for imbeddings of Sobolev-Poincaré type. Zbl 0884.46025Buckley, Stephen M.; Koskela, Pekka 18 1996 A note on extremal mappings of finite distortion. Zbl 1079.30024Hencl, Stanislav; Koskela, Pekka; Onninen, Jani 18 2005 Uniform, Sobolev extension and quasiconformal circle domains. Zbl 0776.30014Herron, David A.; Koskela, Pekka 18 1991 Boman equals John. Zbl 0861.43007Buckley, S.; Koskela, P.; Lu, Guozhen 17 1996 Mappings of finite distortion: gauge dimension of generalized quasicircles. Zbl 1050.30012Herron, David A.; Koskela, Pekka 16 2003 Weighted pointwise Hardy inequalities. Zbl 1183.26026Koskela, Pekka; Lehrbäck, Juha 16 2009 Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 16 2004 Orlicz-Hardy inequalities. Zbl 1070.46018Buckley, Stephen M.; Koskela, Pekka 15 2004 Ends of metric measure spaces and Sobolev inequalities. Zbl 1086.58021Buckley, Stephen M.; Koskela, Pekka 14 2006 Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás 14 2014 Mappings of finite distortion: Compactness. Zbl 1017.30024Iwaniec, Tadeusz; Koskela, Pekka; Onninen, Jani 14 2002 Capacity extension domains. Zbl 0699.31011Koskela, Pekka 14 1990 Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 14 2007 Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi Väisälä. Zbl 1072.30503Balogh, Zoltán M.; Koskela, Pekka 14 2000 Quasiextremal distance domains and conformal mappings onto circle domains. Zbl 0682.30011Herron, David A.; Koskela, Pekka 13 1990 Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings. Zbl 1096.30503Koskela, Pekka; Onninen, Jani; Tyson, Jeremy T. 13 2001 Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari 13 2007 Mappings of finite distortion: Injectivity radius of a local homeomorphism. Zbl 1043.30009Koskela, Pekka; Onninen, Jani; Rajala, Kai 12 2003 Mappings of finite distortion: The sharp modulus of continuity. Zbl 1027.30052Koskela, Pekka; Onninen, Jani 11 2003 Removability theorems for solutions of degenerate elliptic partial differential equations. Zbl 0845.35015Koskela, Pekka; Martio, Olli 11 1993 Minimal assumptions for the integrability of the Jacobian. Zbl 1096.26005Zhong, Xiao; Koskela, Pekka 11 2002 Uniform and Sobolev extension domains. Zbl 0757.30022Herron, David A.; Koskela, Pekka 10 1992 The degree of regularity of a quasiconformal mapping. Zbl 0814.30015Koskela, Pekka 10 1994 Mappings of finite distortion: generalized Hausdorff dimension distortion. Zbl 1205.30017Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas 10 2010 Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024Hencl, Stanislav; Koskela, Pekka 10 2005 Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 9 2014 Removable sets for the Poincaré inequality on metric spaces. Zbl 0958.30008Koskela, P.; Shanmugalingam, N.; Tuominen, H. 9 2000 Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions. Zbl 1369.46028Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 9 2017 A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan 9 2017 Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032Hencl, Stanislav; Koskela, Pekka 8 2013 Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 8 2014 Generalized quasidisks and conformality. Zbl 1286.30021Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani 8 2014 Exceptional sets for the definition of quasiconformality. Zbl 0954.30008Kallunki, Sari; Koskela, Pekka 8 2000 Conformal capacity and the quasihyperbolic metric. Zbl 0862.30021Herron, David A.; Koskela, Pekka 8 1996 Mappings of finite distortion: formation of cusps. Zbl 1126.30012Koskela, Pekka; Takkinen, Juhani 8 2007 Old and new on the quasihyperbolic metric. Zbl 0888.30019Koskela, Pekka 8 1998 Volume growth and parabolicity. Zbl 0998.58024Holopainen, Ilkka; Koskela, Pekka 8 2001 Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings. Zbl 1092.30037Hencl, Stanislav; Koskela, Pekka 7 2005 Hölder continuity of Sobolev functions and quasiconformal mappings. Zbl 0792.46023Koskela, P.; Reitich, F. 7 1993 Sobolev-Poincaré inequalities for \(p<1\). Zbl 0812.35039Buckley, Stephen M.; Koskela, Pekka 7 1994 Mappings of finite distortion: formation of cusps. III. Zbl 1195.30034Koskela, Pekka; Takkinen, Juhani 7 2010 Generalized dimension distortion under planar Sobolev homeomorphisms. Zbl 1177.30022Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas 7 2009 Quasiconformal removability and the quasihyperbolic metric. Zbl 1078.30016Koskela, Pekka; Nieminen, Tomi 7 2005 Traces of weighted function spaces: dyadic norms and Whitney extensions. Zbl 1406.46024Koskela, Pekka; Soto, Tomás; Wang, Zhuang 7 2017 Mappings of finite distortion: Decay of the Jacobian in the plane. Zbl 1160.30009Koskela, Pekka; Onninen, Jani 6 2008 Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. Zbl 1288.35018Jiang, Renjin; Koskela, Pekka; Yang, Dachun 6 2014 \(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006Astala, Kari; Koskela, Pekka 6 2011 Dimension gap under conformal mappings. Zbl 1253.30034Hencl, Stanislav; Koskela, Pekka; Nieminen, Tomi 6 2012 Isoperimetric inequality from the Poisson equation via curvature. Zbl 1247.53045Jiang, Renjin; Koskela, Pekka 6 2012 Luzin’s condition (N) and Sobolev mappings. Zbl 1257.26010Koskela, Pekka; Malý, Jan; Zürcher, Thomas 6 2012 Mappings of finite distortion: composition operator. Zbl 1139.26004Hencl, Stanislav; Koskela, Pekka 6 2008 Pointwise inequalities for Sobolev functions on outward cuspidal domains. Zbl 07487104Eriksson-Bique, Sylvester; Koskela, Pekka; Malý, Jan; Zhu, Zheng 1 2022 Dyadic norm Besov-type spaces as trace spaces on regular trees. Zbl 1464.46044Koskela, Pekka; Wang, Zhuang 6 2020 Gradient estimates for heat kernels and harmonic functions. Zbl 1439.53041Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam 6 2020 Trace operators on regular trees. Zbl 1478.46041Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang 2 2020 Sobolev homeomorphic extensions onto John domains. Zbl 1475.30049Koskela, Pekka; Koski, Aleksis; Onninen, Jani 1 2020 Regularity and modulus of continuity of space-filling curves. Zbl 1423.28014Kauranen, Aapo; Koskela, Pekka; Zapadinskaya, Aleksandra 2 2019 Controlled diffeomorphic extension of homeomorphisms. Zbl 1405.31001Koskela, Pekka; Wang, Zhuang; Xu, Haiqing 3 2018 Accessible parts of boundary for simply connected domains. Zbl 1392.26037Koskela, Pekka; Nandi, Debanjan; Nicolau, Artur 2 2018 Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions. Zbl 1369.46028Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 9 2017 A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan 9 2017 Traces of weighted function spaces: dyadic norms and Whitney extensions. Zbl 1406.46024Koskela, Pekka; Soto, Tomás; Wang, Zhuang 7 2017 A density problem for Sobolev spaces on Gromov hyperbolic domains. Zbl 1371.46028Koskela, Pekka; Rajala, Tapio; Zhang, Yi Ru-Ya 6 2017 Morrey-Sobolev extension domains. Zbl 1371.42028Koskela, Pekka; Zhang, Yi Ru-Ya; Zhou, Yuan 6 2017 Sharpness of uniform continuity of quasiconformal mappings onto \(s\)-John domains. Zbl 1361.30035Guo, Chang-Yu; Koskela, Pekka 2 2017 A density problem for Sobolev spaces on planar domains. Zbl 1360.46030Koskela, Pekka; Zhang, Yi Ru-Ya 5 2016 Sobolev spaces on metric measure spaces. An approach based on upper gradients. Zbl 1332.46001Heinonen, Juha; Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 203 2015 Luzin’s condition (N) and modulus of continuity. Zbl 1315.26008Koskela, Pekka; Malý, Jan; Zürcher, Thomas 5 2015 Generalized dimension estimates for images of porous sets under monotone Sobolev mappings. Zbl 1316.26013Koskela, Pekka; Zapadinskaya, Aleksandra 3 2015 Nonexistence of quasiconformal maps between certain metric measure spaces. Zbl 1342.30053Fässler, Katrin; Koskela, Pekka; Le Donne, Enrico 3 2015 Intrinsic Hardy-Orlicz spaces of conformal mappings. Zbl 1316.30049Koskela, Pekka; Benedict, Sita 2 2015 Lattice property of \(p\)-admissible weights. Zbl 1337.46026Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki 2 2015 Dimension gap under Sobolev mappings. Zbl 1370.46019Koskela, Pekka; Zapadinskaya, Aleksandra 2 2015 Lebesgue points via the Poincaré inequality. Zbl 1342.46035Karak, Nijjwal; Koskela, Pekka 1 2015 Lectures on mappings of finite distortion. Zbl 1293.30051Hencl, Stanislav; Koskela, Pekka 93 2014 Bounded compositions on scaling invariant Besov spaces. Zbl 1359.47019Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás 14 2014 Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems. Zbl 1302.60113Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 9 2014 Geometry and analysis of Dirichlet forms. II. Zbl 1297.53033Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 8 2014 Generalized quasidisks and conformality. Zbl 1286.30021Guo, Chang-Yu; Koskela, Pekka; Takkinen, Juhani 8 2014 Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions. Zbl 1288.35018Jiang, Renjin; Koskela, Pekka; Yang, Dachun 6 2014 Boundary blow-up under Sobolev mappings. Zbl 1312.26024Kauranen, Aapo; Koskela, Pekka 5 2014 Generalized John disks. Zbl 1294.30037Guo, Chang-Yu; Koskela, Pekka 5 2014 Solvability of the divergence equation implies John via Poincaré inequality. Zbl 1288.35189Jiang, Renjin; Kauranen, Aapo; Koskela, Pekka 5 2014 Gromov hyperbolicity and quasihyperbolic geodesics. (Hyperbolicité de Gromov et quasi-hyperbolique géodésique.) Zbl 1317.30085Koskela, Pekka; Lammi, Päivi; Manojlović, Vesna 4 2014 Characterizations of Besov and Triebel-Lizorkin spaces on metric measure spaces. Zbl 1278.42029Gogatishvili, Amiran; Koskela, Pekka; Zhou, Yuan 39 2013 Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces. Zbl 1271.46032Hencl, Stanislav; Koskela, Pekka 8 2013 Gehring-Hayman theorem for conformal deformations. Zbl 1276.30040Koskela, Pekka; Lammi, Päivi 4 2013 Harmonie Hardy-Orlicz spaces. Zbl 1272.31010Kilpeläinen, Tero; Koskela, Pekka; Masaoka, Hiroaki 2 2013 Geometry and analysis of Dirichlet forms. Zbl 1253.53035Koskela, Pekka; Zhou, Yuan 28 2012 Dimension gap under conformal mappings. Zbl 1253.30034Hencl, Stanislav; Koskela, Pekka; Nieminen, Tomi 6 2012 Isoperimetric inequality from the Poisson equation via curvature. Zbl 1247.53045Jiang, Renjin; Koskela, Pekka 6 2012 Luzin’s condition (N) and Sobolev mappings. Zbl 1257.26010Koskela, Pekka; Malý, Jan; Zürcher, Thomas 6 2012 Analytic properties of quasiconformal mappings between metric spaces. Zbl 1253.30035Koskela, P.; Wildrick, K. 5 2012 Continuity of solutions to \(n\)-harmonic equations. Zbl 1250.35097Jiang, Renjin; Koskela, Pekka; Yang, Dachun 5 2012 \(L^\infty\)-variational problem associated to Dirichlet forms. Zbl 1280.49028Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan 4 2012 Quasi-nearly subharmonic functions and quasiconformal mappings. Zbl 1252.31005Koskela, Pekka; Manojlović, Vesna 4 2012 Mappings of finite distortion: decay of the Jacobian. Zbl 1267.30065Koskela, Pekka; Onninen, Jani; Rajala, Kai 2 2012 Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings. Zbl 1217.46019Koskela, Pekka; Yang, Dachun; Zhou, Yuan 62 2011 \(H^p\)-theory for quasiconformal mappings. Zbl 1248.30006Astala, Kari; Koskela, Pekka 6 2011 Interpolation properties of Besov spaces defined on metric spaces. Zbl 1195.46033Gogatishvili, Amiran; Koskela, Pekka; Shanmugalingam, Nageswari 35 2010 A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions. Zbl 1195.46034Koskela, Pekka; Yang, Dachun; Zhou, Yuan 35 2010 Mappings of finite distortion: generalized Hausdorff dimension distortion. Zbl 1205.30017Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas 10 2010 Mappings of finite distortion: formation of cusps. III. Zbl 1195.30034Koskela, Pekka; Takkinen, Juhani 7 2010 Geometric properties of planar \(BV\)-extension domains. Zbl 1196.46025Koskela, Pekka; Miranda, Michele; Shanmugalingam, Nageswari 5 2010 A note to “Mappings of finite distortion: formation of cusps. II”. Zbl 1234.30017Koskela, Pekka; Takkinen, Juhani 4 2010 A Jordan Sobolev extension domain. Zbl 1209.46016Koskela, Pekka; Yang, Dachun; Zhou, Yuan 3 2010 Planar mappings of finite distortion. Zbl 1206.26018Koskela, Pekka 1 2010 Weighted pointwise Hardy inequalities. Zbl 1183.26026Koskela, Pekka; Lehrbäck, Juha 16 2009 Generalized dimension distortion under planar Sobolev homeomorphisms. Zbl 1177.30022Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas 7 2009 Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion. Zbl 1178.30026Clop, Albert; Koskela, Pekka 5 2009 Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 61 2008 Pointwise characterizations of Hardy-Sobolev functions. Zbl 1165.46013Koskela, Pekka; Saksman, Eero 44 2008 Measure density and extendability of Sobolev functions. Zbl 1226.46029Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 31 2008 Mappings of finite distortion: Decay of the Jacobian in the plane. Zbl 1160.30009Koskela, Pekka; Onninen, Jani 6 2008 Mappings of finite distortion: composition operator. Zbl 1139.26004Hencl, Stanislav; Koskela, Pekka 6 2008 Uniform continuity of quasiconformal mappings and conformal deformations. Zbl 1133.30320Koskela, Pekka; Nieminen, Tomi 5 2008 Homeomorphisms of finite distortion: discrete length of radial images. Zbl 1154.30016Koskela, Pekka; Nieminen, Tomi 3 2008 Exceptional sets for quasiconformal mappings in general metric spaces. Zbl 1160.30008Koskela, P.; Wildrick, K. 1 2008 Homeomorphisms of bounded variation. Zbl 1155.26007Hencl, Stanislav; Koskela, Pekka; Onninen, Jani 21 2007 Sobolev-type spaces from generalized Poincaré inequalities. Zbl 1129.46026Heikkinen, Toni; Koskela, Pekka; Tuominen, Heli 14 2007 Absolute continuity of quasiconformal mappings on curves. Zbl 1134.30014Balogh, Zoltán M.; Koskela, Pekka; Rogovin, Sari 13 2007 Mappings of finite distortion: formation of cusps. Zbl 1126.30012Koskela, Pekka; Takkinen, Juhani 8 2007 Mappings of finite distortion: reverse inequalities for the Jacobian. Zbl 1126.30014Hencl, Stanislav; Koskela, Pekka; Zhong, Xiao 4 2007 Quasihyperbolic growth conditions and compact embeddings of Sobolev spaces. Zbl 1135.46015Koskela, Pekka; Lehrbäck, Juha 1 2007 Regularity of the inverse of a planar Sobolev homeomorphism. Zbl 1151.30325Hencl, Stanislav; Koskela, Pekka 67 2006 Mappings of finite distortion: capacity and modulus inequalities. Zbl 1114.30021Koskela, Pekka; Onninen, Jani 37 2006 Regularity of the inverse of a Sobolev homeomorphism in space. Zbl 1122.30015Hencl, Stanislav; Koskela, Pekka; Malý, Jan 31 2006 Ends of metric measure spaces and Sobolev inequalities. Zbl 1086.58021Buckley, Stephen M.; Koskela, Pekka 14 2006 Mappings of finite distortion: the degree of regularity. Zbl 1075.30012Faraco, Daniel; Koskela, Pekka; Zhong, Xiao 23 2005 A note on extremal mappings of finite distortion. Zbl 1079.30024Hencl, Stanislav; Koskela, Pekka; Onninen, Jani 18 2005 Mappings of finite distortion: discreteness and openness for quasi-light mappings. Zbl 1076.30024Hencl, Stanislav; Koskela, Pekka 10 2005 Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings. Zbl 1092.30037Hencl, Stanislav; Koskela, Pekka 7 2005 Quasiconformal removability and the quasihyperbolic metric. Zbl 1078.30016Koskela, Pekka; Nieminen, Tomi 7 2005 Linear dilatation and absolute continuity. Zbl 1082.30015Koskela, P.; Rogovin, S. 4 2005 A non-doubling Trudinger inequality. Zbl 1091.46019Gogatishvili, Amiran; Koskela, Pekka 1 2005 Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen. Zbl 1088.31005Koskela, Pekka; Shanmugalingam, Nageswari; Tyson, Jeremy T. 16 2004 Orlicz-Hardy inequalities. Zbl 1070.46018Buckley, Stephen M.; Koskela, Pekka 15 2004 Geometric interpretations of \(L^P\)-Poincaré inequalities on graphs with polynomial volume growth. Zbl 1225.46027Coulhon, Thierry; Koskela, Pekka 3 2004 Formation of cracks under deformations with finite energy. Zbl 1064.74023Hajłasz, Piotr; Koskela, Pekka 1 2004 Mappings of finite distortion: The zero set of the Jacobian. Zbl 1025.30019Koskela, Pekka; Malý, Jan 35 2003 Mappings of finite distortion: sharp Orlicz-conditions. Zbl 1059.30017Kauhanen, Janne; Koskela, Pekka; Malý, Jan; Onninen, Jani; Zhong, Xiao 32 2003 Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces. Zbl 1027.31006Koskela, Pekka; Rajala, Kai; Shanmugalingam, Nageswari 29 2003 Hardy’s inequality and the boundary size. Zbl 1018.26008Koskela, Pekka; Zhong, Xiao 24 2003 Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C. 19 2003 Mappings of finite distortion: gauge dimension of generalized quasicircles. Zbl 1050.30012Herron, David A.; Koskela, Pekka 16 2003 Mappings of finite distortion: Injectivity radius of a local homeomorphism. Zbl 1043.30009Koskela, Pekka; Onninen, Jani; Rajala, Kai 12 2003 Mappings of finite distortion: The sharp modulus of continuity. Zbl 1027.30052Koskela, Pekka; Onninen, Jani 11 2003 Mappings of finite distortion: removable singularities. Zbl 1115.30017Koskela, Pekka; Rajala, Kai 4 2003 Sharp inequalities via truncation. Zbl 1019.26003Koskela, Pekka; Onninen, Jani 3 2003 Metric definition of \(\mu\)-homeomorphisms. Zbl 1036.30014Kallunki, S.; Koskela, P. 2 2003 Distributional inequalities for non-harmonic functions. Zbl 1054.42015González, María J.; Koskela, Pekka; Llorente, José G.; Nicolau, Artur 2 2003 ...and 69 more Documents all cited Publications top 5 cited Publications 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 236 Serials 99 Journal of Mathematical Analysis and Applications 76 Nonlinear Analysis. 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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. 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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 136 more Serials all top 5 Cited in 50 Fields 657 Functions of a complex variable (30-XX) 591 Functional analysis (46-XX) 431 Partial differential equations (35-XX) 258 Potential theory (31-XX) 230 Real functions (26-XX) 227 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 Biology and other natural sciences (92-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 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 Statistics (62-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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