Edit Profile (opens in new tab) Hästö, Peter A. Compute Distance To: Compute Author ID: hasto.peter-a Published as: Hästö, Peter; Hästö, Peter A.; Hästö, P.; Hästö, P. A.; Hästo, Peter more...less External Links: MGP · Wikidata · IdRef Documents Indexed: 103 Publications since 2000, including 2 Books 1 Contribution as Editor Reviewing Activity: 14 Reviews Co-Authors: 48 Co-Authors with 80 Joint Publications 880 Co-Co-Authors all top 5 Co-Authors 24 single-authored 41 Harjulehto, Petteri 7 Diening, Lars 7 Koskenoja, Mika 7 Latvala, Visa 5 Ibragimov, Zair 5 Ponnusamy, Saminathan 5 Portilla, Ana 5 Rodríguez García, José Manuel 5 Touris, Eva 4 Almeida, Alexandre 4 Sahoo, Swadesh Kumar 4 Shimomura, Tetsu 4 Vuorinen, Matti Keijo Kustaa 3 Adamowicz, Tomasz 3 Klén, Riku 3 Lindén, Henri 3 Mizuta, Yoshihiro 3 Ok, Jihoon 3 Toivanen, Olli 3 Varonen, Susanna 2 Beznea, Lucian 2 Burstein, Alexander 2 Cruz-Uribe, David Vincente 2 Gheondea, Aurelian 2 Karppinen, Arttu 2 Lukkari, Teemu 2 Minda, David 2 Pere, Mikko 2 Ribeiro, Ana Margarida 1 Baruah, Debangana 1 Benyaiche, Allami 1 Ferreira, Rita 1 Futamura, Toshihide 1 Holmberg, Pär 1 Joiţa, Cezar 1 Lê Văn Út 1 Lee, Mikyoung 1 Mansour, Toufik 1 Marola, Niko 1 Martio, Olli 1 Nuortio, Matti 1 Ohno, Takao 1 Rasila, Antti 1 Roudenko, Svetlana 1 Růžička, Michael 1 Tiirola, Juha 1 Yoshihiro, Mizuta 1 Zhang, Jun all top 5 Serials 4 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Annales Academiae Scientiarum Fennicae. Mathematica 3 The Electronic Journal of Combinatorics 3 Computational Methods and Function Theory 3 Complex Variables and Elliptic Equations 2 Mathematische Nachrichten 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics Letters 2 The Journal of Analysis 2 Revista Matemática Complutense 2 Communications in Contemporary Mathematics 2 Lecture Notes in Mathematics 2 Complex Analysis and Operator Theory 1 Houston Journal of Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Psychology 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Complex Variables. Theory and Application 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Potential Analysis 1 Communications in Analysis and Geometry 1 Calculus of Variations and Partial Differential Equations 1 Georgian Mathematical Journal 1 Mathematical Research Letters 1 Nonlinear Studies 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Conformal Geometry and Dynamics 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Analysis and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Inverse Problems and Imaging 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Journal of Function Spaces 1 Annales Fennici Mathematici all top 5 Fields 55 Functional analysis (46-XX) 31 Functions of a complex variable (30-XX) 22 Partial differential equations (35-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 11 Potential theory (31-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Real functions (26-XX) 7 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Geometry (51-XX) 3 Measure and integration (28-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 2,892 times in 1,629 Documents Cited by ▼ Year ▼ Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael 957 2011 Overview of differential equations with non-standard growth. Zbl 1188.35072Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti 201 2010 Function spaces of variable smoothness and integrability. Zbl 1179.46028Diening, L.; Hästö, P.; Roudenko, S. 118 2009 Besov spaces with variable smoothness and integrability. Zbl 1194.46045Almeida, Alexandre; Hästö, Peter 99 2010 Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002Harjulehto, Petteri; Hästö, Peter 90 2019 The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 72 2006 Critical variable exponent functionals in image restoration. Zbl 1260.94012Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 64 2013 Maximal functions in variable exponent spaces: limiting cases of the exponent. Zbl 1180.42010Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu 62 2009 Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli 58 2017 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018Cruz-Uribe, David; Diening, Lars; Hästö, Peter 57 2011 Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 52 2008 Local-to-global results in variable exponent spaces. Zbl 1184.46033Hästö, Peter A. 46 2009 Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. Zbl 1072.42016Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 46 2005 Generalized Orlicz spaces and related PDE. Zbl 1360.46029Harjulehto, Petteri; Hästö, Peter; Klén, Riku 46 2016 The maximal operator on generalized Orlicz spaces. Zbl 1338.47032Hästö, Peter A. 40 2015 An overview of variable exponent Lebesgue and Sobolev spaces. Zbl 1046.46028Harjulehto, Petteri; Hästö, Peter 38 2003 Optimal inequalities between Seiffert’s mean and power means. Zbl 1049.26006Hästö, Peter A. 35 2004 Gromov hyperbolicity of the \(j_G\) and \({\tilde\jmath}_G\) metrics. Zbl 1089.30044Hästö, Peter A. 34 2006 Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 30 2003 Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 30 2006 Variable exponent trace spaces. Zbl 1134.46016Diening, Lars; Hästö, Peter 27 2007 Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter 26 2015 Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 25 2005 Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 23 2018 Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022Harjulehto, Petteri; Hästö, Peter 23 2008 A new weighted metric: the relative metric. I. Zbl 1019.54011Hästö, Peter A. 23 2002 Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). Zbl 1204.46021Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 23 2009 An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N. 21 2007 Corrigendum to “The maximal operator on generalized Orlicz spaces”. Zbl 1460.47014Hästö, Peter A. 20 2016 Extrapolation and interpolation in generalized Orlicz spaces. Zbl 1391.46037Cruz-Uribe, David; Hästö, Peter 20 2018 Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 20 2006 Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains. Zbl 1195.30061Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 20 2010 A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021Harjulehto, Petteri; Hästö, Peter 18 2004 The Apollonian metric: uniformity and quasiconvexity. Zbl 1029.30027Hästö, Peter A. 17 2003 Isometries of some hyperbolic-type path metric, and the hyperbolic medial axis. Zbl 1147.30029Hästö, Peter; Ibragimov, Zair; Minda, David; Ponnusamy, Saminathan; Sahoo, Swadesh 17 2007 Harnack’s inequality and the strong \(p(\cdot )\)-Laplacian. Zbl 1205.35084Adamowicz, Tomasz; Hästö, Peter 17 2011 Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 15 2007 A monotonicity property of ratios of symmetric homogeneous means. Zbl 1026.26025Hästö, Peter A. 15 2002 Boundary regularity under generalized growth conditions. Zbl 1420.49041Harjulehto, Petteri; Hästö, Peter 14 2019 The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041Harjulehto, Petteri; Hästö, Peter 13 2017 Isometries of the half-Apollonian metric. Zbl 1063.30042Hästö, Peter; Lindén, Henri 13 2004 Mappings of finite distortion and PDE with nonstandard growth. Zbl 1206.35134Adamowicz, Tomasz; Hästö, Peter 13 2010 Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics. Zbl 1262.30044Hästö, Peter; Lindén, Henri; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 13 2012 Lebesgue points in variable exponent spaces. Zbl 1079.46022Harjulehto, Petteri; Hästö, Peter 12 2004 Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Zbl 1310.47069Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T. 12 2015 Interpolation in variable exponent spaces. Zbl 1311.46028Almeida, Alexandre; Hästö, Peter 12 2014 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 12 2010 Capacities in generalized Orlicz spaces. Zbl 1409.46024Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter 11 2018 The \(p(x)\)-Laplacian and applications. Zbl 1185.46020Hästö, Peter A. 11 2007 Sobolev inequalities for Orlicz spaces of two variable exponents. Zbl 1206.46035Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu 11 2010 Calderón-Zygmund estimates in generalized Orlicz spaces. Zbl 1420.35087Hästö, Peter; Ok, Jihoon 10 2019 The maximal operator in Lebesgue spaces with variable exponent near 1. Zbl 1125.46021Hästö, Peter A. 10 2007 The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027Harjulehto, P.; Hästö, P.; Koskenoja, M. 9 2003 Counter-examples of regularity in variable exponent Sobolev spaces. Zbl 1084.46025Hästö, Peter A. 9 2005 A new weighted metric: the relative metric. II. Zbl 1069.54019Hästö, Peter A. 9 2005 The Apollonian inner metric. Zbl 1146.30025Hästö, Peter A. 9 2004 The strong minimum principle for quasisuperminimizers of non-standard growth. Zbl 1251.49028Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 9 2011 Isometries of relative metrics. Zbl 1102.30046Hästö, Peter; Ibragimov, Zair; Lindén, Henri 8 2006 Inequalities and geometry of the Apollonian and related metrics. Zbl 1120.30035Hästö, Peter; Ponnusamy, S.; Sahoo, S. K. 8 2006 The Apollonian metric: quasi-isotropy and Seittenranta’s metric. Zbl 1073.30036Hästö, Peter A. 7 2004 Statistical manifold as an affine space: a functional equation approach. Zbl 1093.62009Zhang, Jun; Hästö, Peter 7 2006 The Apollonian metric: limits of the comparison and bilipschitz properties. Zbl 1067.30082Hästö, Peter A. 6 2003 Packing patterns into words. Zbl 1031.05007Burstein, Alexander; Hästö, Peter; Mansour, Toufik 6 2003 Apollonian isometries of planar domains are Möbius mappings. Zbl 1081.30039Hästö, Peter; Ibragimov, Zair 6 2005 Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023Harjulehto, Petteri; Hästö, Peter; Martio, Olli 6 2004 Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolic metric. Zbl 1214.30035Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 6 2011 Characterization of the variable exponent Sobolev norm without derivatives. Zbl 1408.46035Hästö, Peter; Ribeiro, Ana Margarida 5 2017 Apollonian isometries of regular domains are Möbius mappings. Zbl 1114.30048Hästö, Peter; Ibragimov, Zair 5 2007 Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics. Zbl 1190.30030Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 5 2010 Isometries of the quasihyperbolic metric. Zbl 1221.30092Hästö, Peter 4 2007 Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti 4 2016 Lebesgue points in variable exponent Sobolev spaces on metric measure spaces. Zbl 1199.46079Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 4 2004 On the density of continuous functions in variable exponent Sobolev space. Zbl 1144.46031Hästö, Peter A. 4 2007 Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung 4 2021 Variable exponent spaces on metric measure spaces. Zbl 1189.46027Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 3 2009 The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. Zbl 1455.35088Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 3 2021 The Apollonian metric: the comparison property, bilipschitz mappings and thick sets. Zbl 1115.30049Hästö, P. A. 3 2006 On the existence of minimizers of the variable exponent Dirichlet energy integral. (On the existance of minimizers of the variable exponent Dirichlet energy integral.) Zbl 1143.46014Hästö, Peter A. 3 2006 Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 3 2011 Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. Zbl 1397.42010Almeida, Alexandre; Diening, Lars; Hästö, Peter 3 2018 Characterization of generalized Orlicz spaces. Zbl 1454.46033Ferreira, Rita; Hästö, Peter; Ribeiro, Ana Margarida 3 2020 Maximal regularity for local minimizers of non-autonomous functionals. Zbl 1485.49044Hästö, Peter; Ok, Jihoon 3 2022 The packing density of other layered permutations. Zbl 1037.05001Hästö, Peter A. 2 2003 Inequalities of generalized hyperbolic metrics. Zbl 1145.30004Hästö, Peter A. 2 2007 Packing sets of patterns. Zbl 1228.05116Burstein, Alexander; Hästö, Peter 2 2010 Higher integrability for parabolic systems with Orlicz growth. Zbl 1479.35161Hästö, Peter; Ok, Jihoon 2 2021 Further results on variable exponent trace spaces. Zbl 1189.46026Diening, Lars; Hästö, Peter 1 2009 Uniform convexity and associate spaces. Zbl 1465.46032Harjulehto, Petteri; Hästö, Peter 1 2018 Double phase image restoration. Zbl 1472.49026Harjulehto, Petteri; Hästö, Peter 1 2021 Gromov hyperbolicity of Denjoy domains through fundamental domains. Zbl 1289.30219Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 1 2012 Distortion in the spherical metric under quasiconformal mappings. Zbl 1071.30023Hästö, Peter A. 1 2003 Isometries of relative metrics. Zbl 1165.30364Hästö, Peter 1 2007 Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian. Zbl 1254.35070Harjulehto, P.; Hästö, P.; Latvala, V. 1 2011 Point-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration models. Zbl 1359.94034Harjulehto, Petteri; Hästö, Peter; Tiirola, Juha 1 2015 Maximal regularity for local minimizers of non-autonomous functionals. Zbl 1485.49044Hästö, Peter; Ok, Jihoon 3 2022 Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung 4 2021 The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. Zbl 1455.35088Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 3 2021 Higher integrability for parabolic systems with Orlicz growth. Zbl 1479.35161Hästö, Peter; Ok, Jihoon 2 2021 Double phase image restoration. Zbl 1472.49026Harjulehto, Petteri; Hästö, Peter 1 2021 Characterization of generalized Orlicz spaces. Zbl 1454.46033Ferreira, Rita; Hästö, Peter; Ribeiro, Ana Margarida 3 2020 Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002Harjulehto, Petteri; Hästö, Peter 90 2019 Boundary regularity under generalized growth conditions. Zbl 1420.49041Harjulehto, Petteri; Hästö, Peter 14 2019 Calderón-Zygmund estimates in generalized Orlicz spaces. Zbl 1420.35087Hästö, Peter; Ok, Jihoon 10 2019 Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 23 2018 Extrapolation and interpolation in generalized Orlicz spaces. Zbl 1391.46037Cruz-Uribe, David; Hästö, Peter 20 2018 Capacities in generalized Orlicz spaces. Zbl 1409.46024Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter 11 2018 Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. Zbl 1397.42010Almeida, Alexandre; Diening, Lars; Hästö, Peter 3 2018 Uniform convexity and associate spaces. Zbl 1465.46032Harjulehto, Petteri; Hästö, Peter 1 2018 Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli 58 2017 The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041Harjulehto, Petteri; Hästö, Peter 13 2017 Characterization of the variable exponent Sobolev norm without derivatives. Zbl 1408.46035Hästö, Peter; Ribeiro, Ana Margarida 5 2017 Generalized Orlicz spaces and related PDE. Zbl 1360.46029Harjulehto, Petteri; Hästö, Peter; Klén, Riku 46 2016 Corrigendum to “The maximal operator on generalized Orlicz spaces”. Zbl 1460.47014Hästö, Peter A. 20 2016 Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti 4 2016 The maximal operator on generalized Orlicz spaces. Zbl 1338.47032Hästö, Peter A. 40 2015 Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter 26 2015 Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Zbl 1310.47069Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T. 12 2015 Point-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration models. Zbl 1359.94034Harjulehto, Petteri; Hästö, Peter; Tiirola, Juha 1 2015 Interpolation in variable exponent spaces. Zbl 1311.46028Almeida, Alexandre; Hästö, Peter 12 2014 Critical variable exponent functionals in image restoration. Zbl 1260.94012Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 64 2013 Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics. Zbl 1262.30044Hästö, Peter; Lindén, Henri; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 13 2012 Gromov hyperbolicity of Denjoy domains through fundamental domains. Zbl 1289.30219Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 1 2012 Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael 957 2011 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018Cruz-Uribe, David; Diening, Lars; Hästö, Peter 57 2011 Harnack’s inequality and the strong \(p(\cdot )\)-Laplacian. Zbl 1205.35084Adamowicz, Tomasz; Hästö, Peter 17 2011 The strong minimum principle for quasisuperminimizers of non-standard growth. Zbl 1251.49028Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 9 2011 Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolic metric. Zbl 1214.30035Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 6 2011 Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 3 2011 Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian. Zbl 1254.35070Harjulehto, P.; Hästö, P.; Latvala, V. 1 2011 Overview of differential equations with non-standard growth. Zbl 1188.35072Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti 201 2010 Besov spaces with variable smoothness and integrability. Zbl 1194.46045Almeida, Alexandre; Hästö, Peter 99 2010 Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains. Zbl 1195.30061Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 20 2010 Mappings of finite distortion and PDE with nonstandard growth. Zbl 1206.35134Adamowicz, Tomasz; Hästö, Peter 13 2010 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 12 2010 Sobolev inequalities for Orlicz spaces of two variable exponents. Zbl 1206.46035Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu 11 2010 Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics. Zbl 1190.30030Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 5 2010 Packing sets of patterns. Zbl 1228.05116Burstein, Alexander; Hästö, Peter 2 2010 Function spaces of variable smoothness and integrability. Zbl 1179.46028Diening, L.; Hästö, P.; Roudenko, S. 118 2009 Maximal functions in variable exponent spaces: limiting cases of the exponent. Zbl 1180.42010Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu 62 2009 Local-to-global results in variable exponent spaces. Zbl 1184.46033Hästö, Peter A. 46 2009 Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). Zbl 1204.46021Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 23 2009 Variable exponent spaces on metric measure spaces. Zbl 1189.46027Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 3 2009 Further results on variable exponent trace spaces. Zbl 1189.46026Diening, Lars; Hästö, Peter 1 2009 Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 52 2008 Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022Harjulehto, Petteri; Hästö, Peter 23 2008 Variable exponent trace spaces. Zbl 1134.46016Diening, Lars; Hästö, Peter 27 2007 An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N. 21 2007 Isometries of some hyperbolic-type path metric, and the hyperbolic medial axis. Zbl 1147.30029Hästö, Peter; Ibragimov, Zair; Minda, David; Ponnusamy, Saminathan; Sahoo, Swadesh 17 2007 Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 15 2007 The \(p(x)\)-Laplacian and applications. Zbl 1185.46020Hästö, Peter A. 11 2007 The maximal operator in Lebesgue spaces with variable exponent near 1. Zbl 1125.46021Hästö, Peter A. 10 2007 Apollonian isometries of regular domains are Möbius mappings. Zbl 1114.30048Hästö, Peter; Ibragimov, Zair 5 2007 Isometries of the quasihyperbolic metric. Zbl 1221.30092Hästö, Peter 4 2007 On the density of continuous functions in variable exponent Sobolev space. Zbl 1144.46031Hästö, Peter A. 4 2007 Inequalities of generalized hyperbolic metrics. Zbl 1145.30004Hästö, Peter A. 2 2007 Isometries of relative metrics. Zbl 1165.30364Hästö, Peter 1 2007 The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 72 2006 Gromov hyperbolicity of the \(j_G\) and \({\tilde\jmath}_G\) metrics. Zbl 1089.30044Hästö, Peter A. 34 2006 Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 30 2006 Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 20 2006 Isometries of relative metrics. Zbl 1102.30046Hästö, Peter; Ibragimov, Zair; Lindén, Henri 8 2006 Inequalities and geometry of the Apollonian and related metrics. Zbl 1120.30035Hästö, Peter; Ponnusamy, S.; Sahoo, S. K. 8 2006 Statistical manifold as an affine space: a functional equation approach. Zbl 1093.62009Zhang, Jun; Hästö, Peter 7 2006 The Apollonian metric: the comparison property, bilipschitz mappings and thick sets. Zbl 1115.30049Hästö, P. A. 3 2006 On the existence of minimizers of the variable exponent Dirichlet energy integral. (On the existance of minimizers of the variable exponent Dirichlet energy integral.) Zbl 1143.46014Hästö, Peter A. 3 2006 Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. Zbl 1072.42016Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 46 2005 Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 25 2005 Counter-examples of regularity in variable exponent Sobolev spaces. Zbl 1084.46025Hästö, Peter A. 9 2005 A new weighted metric: the relative metric. II. Zbl 1069.54019Hästö, Peter A. 9 2005 Apollonian isometries of planar domains are Möbius mappings. Zbl 1081.30039Hästö, Peter; Ibragimov, Zair 6 2005 Optimal inequalities between Seiffert’s mean and power means. Zbl 1049.26006Hästö, Peter A. 35 2004 A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021Harjulehto, Petteri; Hästö, Peter 18 2004 Isometries of the half-Apollonian metric. Zbl 1063.30042Hästö, Peter; Lindén, Henri 13 2004 Lebesgue points in variable exponent spaces. Zbl 1079.46022Harjulehto, Petteri; Hästö, Peter 12 2004 The Apollonian inner metric. Zbl 1146.30025Hästö, Peter A. 9 2004 The Apollonian metric: quasi-isotropy and Seittenranta’s metric. Zbl 1073.30036Hästö, Peter A. 7 2004 Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023Harjulehto, Petteri; Hästö, Peter; Martio, Olli 6 2004 Lebesgue points in variable exponent Sobolev spaces on metric measure spaces. Zbl 1199.46079Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 4 2004 An overview of variable exponent Lebesgue and Sobolev spaces. Zbl 1046.46028Harjulehto, Petteri; Hästö, Peter 38 2003 Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 30 2003 The Apollonian metric: uniformity and quasiconvexity. Zbl 1029.30027Hästö, Peter A. 17 2003 The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027Harjulehto, P.; Hästö, P.; Koskenoja, M. 9 2003 The Apollonian metric: limits of the comparison and bilipschitz properties. Zbl 1067.30082Hästö, Peter A. 6 2003 Packing patterns into words. Zbl 1031.05007Burstein, Alexander; Hästö, Peter; Mansour, Toufik 6 2003 The packing density of other layered permutations. Zbl 1037.05001Hästö, Peter A. 2 2003 Distortion in the spherical metric under quasiconformal mappings. Zbl 1071.30023Hästö, Peter A. 1 2003 A new weighted metric: the relative metric. I. Zbl 1019.54011Hästö, Peter A. 23 2002 A monotonicity property of ratios of symmetric homogeneous means. Zbl 1026.26025Hästö, Peter A. 15 2002 all cited Publications top 5 cited Publications all top 5 Cited by 1,351 Authors 55 Shimomura, Tetsu 44 Hästö, Peter A. 41 Yang, Dachun 38 Mizuta, Yoshihiro 36 Ohno, Takao 34 Rădulescu, Vicenţiu D. 31 Byun, Sun-Sig 29 Chu, Yuming 29 Xu, Jingshi 28 Harjulehto, Petteri 26 Zhang, Qihu 25 Ok, Jihoon 25 Rafeiro, Humberto 25 Samko, Stefan Grigorievich 23 Ho, Kwok-Pun 22 Papageorgiou, Nikolaos S. 21 Rodríguez García, José Manuel 21 Sawano, Yoshihiro 19 Vuorinen, Matti Keijo Kustaa 18 Fu, Yongqiang 17 Cruz-Uribe, David Vincente 17 Dai, Guowei 17 Simsen, Jacson 16 Fiorenza, Alberto 16 Górka, Przemysław 16 Yuan, Wen 16 Zhuo, Ciqiang 14 Repovš, Dušan D. 13 Antontsev, Stanislav Nikolaevich 13 Fan, Xianling 13 Ge, Bin 13 Guliyev, Vagif Sabir 13 Kim, Yunho 13 Weisz, Ferenc 13 Zhang, Binlin 13 Zhang, Chao 12 Drihem, Douadi 12 Kokilashvili, Vakhtang Mikhailovich 12 Meskhi, Alexander 11 Almeida, Alexandre 11 Bandaliev, Rovshan Alifaga ogly 11 Benkirane, Abdelmoujib 11 De Filippis, Cristiana 11 Izuki, Mitsuo 11 Mingione, Giuseppe 11 Simsen, Mariza Stefanello 10 Azroul, Elhoussine 10 Jiao, Yong 10 Kempka, Henning 10 Lukkari, Teemu 10 Maeda, Fumiyuki 10 Wang, Xiantao 10 Winkert, Patrick 9 Alves, Claudianor Oliveira 9 Aouaoui, Sami 9 Chlebicka, Iwona 9 Diening, Lars 9 Gwiazda, Piotr 9 Ho, Ky 9 Karapetyants, Alexey N. 9 Li, Yaxiang 9 Messaoudi, Salim A. 9 Nakai, Eiichi 9 Noi, Takahiro 9 Ponnusamy, Saminathan 9 Sigarreta Almira, José María 9 Wang, Miaokun 9 Yang, Sibei 8 Edmunds, David Eric 8 Galewski, Marek 8 Ibragimov, Zair 8 Khamsi, Mohamed Amine 8 Klén, Riku 8 Kopaliani, Tengiz 8 Mamedov, Farman Imran 8 Nguyen Thanh Chung 8 Portilla, Ana 8 Sahoo, Swadesh Kumar 8 Surnachëv, Mikhaĭl Dmitrievich 8 Tan, Jian 8 Testici, Ahmet 8 Touris, Eva 8 Zhao, Jiman 8 Zhou, Shulin 7 Abdou, Afrah Ahmad Noan 7 Ait Khellou, Mustafa 7 Avci, Mustafa 7 Aydin, Ismail 7 Bakery, Awad A. 7 Fernández Bonder, Julián 7 Gao, Wenjie 7 Huang, Manzi 7 Karlovych, Oleksiy 7 Kozhevnikova, Larisa Mikhaĭlovna 7 Latvala, Visa 7 Long, Boyong 7 Mihăilescu, Mihai 7 Pradolini, Gladis G. 7 Ruiz, César 7 Shmarev, Sergey I. ...and 1,251 more Authors all top 5 Cited in 290 Serials 146 Journal of Mathematical Analysis and Applications 125 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Complex Variables and Elliptic Equations 38 Journal of Inequalities and Applications 38 Journal of Function Spaces 36 Journal of Differential Equations 36 Mediterranean Journal of Mathematics 26 Abstract and Applied Analysis 24 Journal of Functional Analysis 24 Calculus of Variations and Partial Differential Equations 23 Nonlinear Analysis. Real World Applications 22 Applicable Analysis 21 Boundary Value Problems 19 Computers & Mathematics with Applications 18 The Journal of Geometric Analysis 18 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 17 Revista Matemática Complutense 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Mathematische Nachrichten 14 Monatshefte für Mathematik 14 Proceedings of the American Mathematical Society 14 Journal of Mathematical Sciences (New York) 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Applied Mathematics and Computation 12 Czechoslovak Mathematical Journal 12 Georgian Mathematical Journal 12 Communications on Pure and Applied Analysis 12 Banach Journal of Mathematical Analysis 11 Collectanea Mathematica 11 Potential Analysis 11 Annales Academiae Scientiarum Fennicae. Mathematica 11 Analysis and Mathematical Physics 11 Journal of Elliptic and Parabolic Equations 10 Journal of Mathematical Physics 9 Integral Equations and Operator Theory 9 Results in Mathematics 9 Transactions of the American Mathematical Society 9 Applied Mathematics Letters 9 Mathematical Inequalities & Applications 9 Acta Mathematica Sinica. English Series 9 Communications in Contemporary Mathematics 9 Discrete and Continuous Dynamical Systems. Series S 9 Advances in Nonlinear Analysis 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Forum Mathematicum 8 Proceedings of the Indian Academy of Sciences. 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Analyse Non Linéaire 7 Asymptotic Analysis 7 Topological Methods in Nonlinear Analysis 7 Electronic Journal of Differential Equations (EJDE) 7 St. Petersburg Mathematical Journal 7 Integral Transforms and Special Functions 7 The Journal of Fourier Analysis and Applications 7 Open Mathematics 7 Advances in Operator Theory 6 Analysis Mathematica 6 Mathematical Methods in the Applied Sciences 6 Ukrainian Mathematical Journal 6 International Journal of Mathematics and Mathematical Sciences 6 Manuscripta Mathematica 6 NoDEA. Nonlinear Differential Equations and Applications 6 Fractional Calculus & Applied Analysis 6 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Applied Mathematics 6 Boletim da Sociedade Paranaense de Matemática. Terceira Série 6 Annals of Functional Analysis 5 Indian Journal of Pure & Applied Mathematics 5 Mathematische Annalen 5 Mathematische Zeitschrift 5 Ricerche di Matematica 5 Tohoku Mathematical Journal. Second Series 5 Acta Mathematica Hungarica 5 Turkish Journal of Mathematics 5 Bulletin des Sciences Mathématiques 5 Journal of Difference Equations and Applications 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Analysis and Applications (Singapore) 5 Kyoto Journal of Mathematics 5 AIMS Mathematics 4 Archive for Rational Mechanics and Analysis 4 Bulletin of the Australian Mathematical Society 4 Periodica Mathematica Hungarica 4 Rocky Mountain Journal of Mathematics 4 Glasgow Mathematical Journal 4 Journal of the Mathematical Society of Japan 4 Numerical Functional Analysis and Optimization 4 Zeitschrift für Analysis und ihre Anwendungen 4 Chinese Annals of Mathematics. Series B ...and 190 more Serials all top 5 Cited in 45 Fields 818 Partial differential equations (35-XX) 609 Functional analysis (46-XX) 366 Harmonic analysis on Euclidean spaces (42-XX) 169 Operator theory (47-XX) 119 Functions of a complex variable (30-XX) 110 Real functions (26-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 55 Potential theory (31-XX) 51 Global analysis, analysis on manifolds (58-XX) 49 Fluid mechanics (76-XX) 37 Ordinary differential equations (34-XX) 35 Approximations and expansions (41-XX) 30 Differential geometry (53-XX) 28 Probability theory and stochastic processes (60-XX) 26 Geometry (51-XX) 24 Combinatorics (05-XX) 24 Numerical analysis (65-XX) 17 Mechanics of deformable solids (74-XX) 16 General topology (54-XX) 14 Abstract harmonic analysis (43-XX) 12 Special functions (33-XX) 12 Difference and functional equations (39-XX) 12 Integral equations (45-XX) 11 Measure and integration (28-XX) 11 Information and communication theory, circuits (94-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Several complex variables and analytic spaces (32-XX) 6 Computer science (68-XX) 5 Statistics (62-XX) 5 Optics, electromagnetic theory (78-XX) 4 Operations research, mathematical programming (90-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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