Edit Profile (opens in new tab) Hästö, Peter A. Co-Author Distance 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 · GND · IdRef Documents Indexed: 115 Publications since 2000, including 2 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 14 Reviews Co-Authors: 55 Co-Authors with 90 Joint Publications 1,090 Co-Co-Authors all top 5 Co-Authors 26 single-authored 47 Harjulehto, Petteri 7 Diening, Lars 7 Koskenoja, Mika 7 Latvala, Visa 5 Ibragimov, Zair 5 Ok, Jihoon 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 Toivanen, Olli 3 Varonen, Susanna 2 Beznea, Lucian 2 Burstein, Alexander 2 Cruz-Uribe, David Vincente 2 Eleuteri, Michela 2 Gheondea, Aurelian 2 Juusti, Jonne 2 Karppinen, Arttu 2 Lukkari, Teemu 2 Minda, David 2 Pere, Mikko 2 Ribeiro, Ana Margarida 1 Baruah, Debangana 1 Benyaiche, Allami 1 Bertazzoni, Giacomo 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 Rafeiro, Humberto 1 Rasila, Antti 1 Roudenko, Svetlana 1 Růžička, Michael 1 Słabuszewski, Artur 1 Star, Jon R. 1 Tiirola, Juha 1 Torricelli, Andrea 1 Yoshihiro, Mizuta 1 Zhang, Jun all top 5 Serials 5 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 Mathematische Nachrichten 3 The Electronic Journal of Combinatorics 3 Computational Methods and Function Theory 3 Complex Variables and Elliptic Equations 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics Letters 2 The Journal of Geometric Analysis 2 The Journal of Analysis 2 Calculus of Variations and Partial Differential Equations 2 Revista Matemática Complutense 2 Communications in Contemporary Mathematics 2 Lecture Notes in Mathematics 2 Complex Analysis and Operator Theory 1 Archive for Rational Mechanics and Analysis 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 Debrecen 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Potential Analysis 1 Communications in Analysis and Geometry 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 Mathematics in Engineering 1 Annales Fennici Mathematici all top 5 Fields 61 Functional analysis (46-XX) 31 Functions of a complex variable (30-XX) 28 Partial differential equations (35-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 12 Real functions (26-XX) 11 Potential theory (31-XX) 7 Differential geometry (53-XX) 6 Geometry (51-XX) 4 Combinatorics (05-XX) 4 Operator theory (47-XX) 3 Measure and integration (28-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-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) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 4,763 times in 2,740 Documents Cited by ▼ Year ▼ Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael 1,789 2011 Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002 Harjulehto, Petteri; Hästö, Peter 309 2019 Overview of differential equations with non-standard growth. Zbl 1188.35072 Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti 238 2010 Function spaces of variable smoothness and integrability. Zbl 1179.46028 Diening, L.; Hästö, P.; Roudenko, S. 158 2009 Besov spaces with variable smoothness and integrability. Zbl 1194.46045 Almeida, Alexandre; Hästö, Peter 126 2010 The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 93 2006 Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036 Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli 92 2017 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018 Cruz-Uribe, David; Diening, Lars; Hästö, Peter 88 2011 Critical variable exponent functionals in image restoration. Zbl 1260.94012 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 83 2013 Generalized Orlicz spaces and related PDE. Zbl 1360.46029 Harjulehto, Petteri; Hästö, Peter; Klén, Riku 75 2016 The maximal operator on generalized Orlicz spaces. Zbl 1338.47032 Hästö, Peter A. 73 2015 Maximal functions in variable exponent spaces: limiting cases of the exponent. Zbl 1180.42010 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu 69 2009 Maximal regularity for local minimizers of non-autonomous functionals. Zbl 1485.49044 Hästö, Peter; Ok, Jihoon 69 2022 Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 65 2008 Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. Zbl 1072.42016 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 59 2005 Local-to-global results in variable exponent spaces. Zbl 1184.46033 Hästö, Peter A. 57 2009 An overview of variable exponent Lebesgue and Sobolev spaces. Zbl 1046.46028 Harjulehto, Petteri; Hästö, Peter 45 2003 Gromov hyperbolicity of the \(j_G\) and \({\tilde\jmath}_G\) metrics. Zbl 1089.30044 Hästö, Peter A. 42 2006 Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018 Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter 42 2015 Extrapolation and interpolation in generalized Orlicz spaces. Zbl 1391.46037 Cruz-Uribe, David; Hästö, Peter 42 2018 Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 39 2006 Optimal inequalities between Seiffert’s mean and power means. Zbl 1049.26006 Hästö, Peter A. 39 2004 Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 38 2005 Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022 Harjulehto, Petteri; Hästö, Peter 37 2008 Variable exponent trace spaces. Zbl 1134.46016 Diening, Lars; Hästö, Peter 35 2007 A new weighted metric: the relative metric. I. Zbl 1019.54011 Hästö, Peter A. 33 2002 Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 33 2003 Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034 Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 31 2018 Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034 Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung 31 2021 Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 30 2006 Boundary regularity under generalized growth conditions. Zbl 1420.49041 Harjulehto, Petteri; Hästö, Peter 30 2019 Corrigendum to “The maximal operator on generalized Orlicz spaces”. Zbl 1460.47014 Hästö, Peter A. 27 2016 An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004 Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N. 26 2007 Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). Zbl 1204.46021 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 24 2009 The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041 Harjulehto, Petteri; Hästö, Peter 24 2017 Calderón-Zygmund estimates in generalized Orlicz spaces. Zbl 1420.35087 Hästö, Peter; Ok, Jihoon 23 2019 The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. Zbl 1455.35088 Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 23 2021 Isometries of some hyperbolic-type path metric, and the hyperbolic medial axis. Zbl 1147.30029 Hästö, Peter; Ibragimov, Zair; Minda, David; Ponnusamy, Saminathan; Sahoo, Swadesh 22 2007 Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains. Zbl 1195.30061 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 22 2010 A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021 Harjulehto, Petteri; Hästö, Peter 22 2004 Harnack’s inequality and the strong \(p(\cdot )\)-Laplacian. Zbl 1205.35084 Adamowicz, Tomasz; Hästö, Peter 21 2011 A monotonicity property of ratios of symmetric homogeneous means. Zbl 1026.26025 Hästö, Peter A. 20 2002 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017 Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 19 2010 Mappings of finite distortion and PDE with nonstandard growth. Zbl 1206.35134 Adamowicz, Tomasz; Hästö, Peter 18 2010 The Apollonian metric: uniformity and quasiconvexity. Zbl 1029.30027 Hästö, Peter A. 18 2003 Lebesgue points in variable exponent spaces. Zbl 1079.46022 Harjulehto, Petteri; Hästö, Peter 18 2004 Isometries of the half-Apollonian metric. Zbl 1063.30042 Hästö, Peter; Lindén, Henri 18 2004 Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 18 2007 Double phase image restoration. Zbl 1472.49026 Harjulehto, Petteri; Hästö, Peter 18 2021 Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics. Zbl 1262.30044 Hästö, Peter; Lindén, Henri; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 17 2012 Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Zbl 1310.47069 Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T. 17 2015 Capacities in generalized Orlicz spaces. Zbl 1409.46024 Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter 17 2018 The \(p(x)\)-Laplacian and applications. Zbl 1185.46020 Hästö, Peter A. 16 2007 Counter-examples of regularity in variable exponent Sobolev spaces. Zbl 1084.46025 Hästö, Peter A. 15 2005 Interpolation in variable exponent spaces. Zbl 1311.46028 Almeida, Alexandre; Hästö, Peter 14 2014 Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 1511.35172 Hästö, Peter; Ok, Jihoon 14 2022 Sobolev inequalities for Orlicz spaces of two variable exponents. Zbl 1206.46035 Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu 13 2010 Isometries of relative metrics. Zbl 1102.30046 Hästö, Peter; Ibragimov, Zair; Lindén, Henri 11 2006 The maximal operator in Lebesgue spaces with variable exponent near 1. Zbl 1125.46021 Hästö, Peter A. 11 2007 The strong minimum principle for quasisuperminimizers of non-standard growth. Zbl 1251.49028 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 11 2011 The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027 Harjulehto, P.; Hästö, P.; Koskenoja, M. 10 2003 A new weighted metric: the relative metric. II. Zbl 1069.54019 Hästö, Peter A. 10 2005 Higher integrability for parabolic systems with Orlicz growth. Zbl 1479.35161 Hästö, Peter; Ok, Jihoon 10 2021 Inequalities and geometry of the Apollonian and related metrics. Zbl 1120.30035 Hästö, Peter; Ponnusamy, S.; Sahoo, S. K. 9 2006 The Apollonian inner metric. Zbl 1146.30025 Hästö, Peter A. 9 2004 A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces. Zbl 1509.46018 Hästö, Peter A. 9 2023 Statistical manifold as an affine space: a functional equation approach. Zbl 1093.62009 Zhang, Jun; Hästö, Peter 8 2006 Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolic metric. Zbl 1214.30035 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 8 2011 Apollonian isometries of planar domains are Möbius mappings. Zbl 1081.30039 Hästö, Peter; Ibragimov, Zair 8 2005 The Apollonian metric: quasi-isotropy and Seittenranta’s metric. Zbl 1073.30036 Hästö, Peter A. 8 2004 Characterization of generalized Orlicz spaces. Zbl 1454.46033 Ferreira, Rita; Hästö, Peter; Ribeiro, Ana Margarida 8 2020 Isometries of the quasihyperbolic metric. Zbl 1221.30092 Hästö, Peter 7 2007 Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics. Zbl 1190.30030 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 7 2010 On the density of continuous functions in variable exponent Sobolev space. Zbl 1144.46031 Hästö, Peter A. 7 2007 Packing patterns into words. Zbl 1031.05007 Burstein, Alexander; Hästö, Peter; Mansour, Toufik 7 2003 The packing density of other layered permutations. Zbl 1037.05001 Hästö, Peter A. 7 2003 Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023 Harjulehto, Petteri; Hästö, Peter; Martio, Olli 7 2004 Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019 Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti 7 2016 Apollonian isometries of regular domains are Möbius mappings. Zbl 1114.30048 Hästö, Peter; Ibragimov, Zair 6 2007 The Apollonian metric: limits of the comparison and bilipschitz properties. Zbl 1067.30082 Hästö, Peter A. 6 2003 Uniform convexity and associate spaces. Zbl 1465.46032 Harjulehto, Petteri; Hästö, Peter 6 2018 Characterization of the variable exponent Sobolev norm without derivatives. Zbl 1408.46035 Hästö, Peter; Ribeiro, Ana Margarida 6 2017 Extension in generalized Orlicz spaces. Zbl 1457.46038 Harjulehto, Petteri; Hästö, Peter 5 2019 Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. Zbl 1397.42010 Almeida, Alexandre; Diening, Lars; Hästö, Peter 5 2018 Regularity theory for non-autonomous problems with a priori assumptions. Zbl 1529.35109 Hästö, Peter; Ok, Jihoon 5 2023 Lebesgue points in variable exponent Sobolev spaces on metric measure spaces. Zbl 1199.46079 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 4 2004 Variable exponent spaces on metric measure spaces. Zbl 1189.46027 Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 4 2009 Packing sets of patterns. Zbl 1228.05116 Burstein, Alexander; Hästö, Peter 3 2010 The Apollonian metric: the comparison property, bilipschitz mappings and thick sets. Zbl 1115.30049 Hästö, P. A. 3 2006 Further results on variable exponent trace spaces. Zbl 1189.46026 Diening, Lars; Hästö, Peter 3 2009 Isometries of relative metrics. Zbl 1165.30364 Hästö, Peter 3 2007 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 1143.46014 Hästö, Peter A. 3 2006 Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025 Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 3 2011 Inequalities of generalized hyperbolic metrics. Zbl 1145.30004 Hästö, Peter A. 2 2007 Gromov hyperbolicity of Denjoy domains through fundamental domains. Zbl 1289.30219 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 1 2012 Distortion in the spherical metric under quasiconformal mappings. Zbl 1071.30023 Hästö, Peter A. 1 2003 Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian. Zbl 1254.35070 Harjulehto, P.; Hästö, P.; Latvala, V. 1 2011 Point-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration models. Zbl 1359.94034 Harjulehto, Petteri; Hästö, Peter; Tiirola, Juha 1 2015 Bloch estimates in non-doubling generalized Orlicz spaces. Zbl 1536.49016 Harjulehto, Petteri; Hästö, Peter; Juusti, Jonne 1 2023 A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces. Zbl 1509.46018 Hästö, Peter A. 9 2023 Regularity theory for non-autonomous problems with a priori assumptions. Zbl 1529.35109 Hästö, Peter; Ok, Jihoon 5 2023 Bloch estimates in non-doubling generalized Orlicz spaces. Zbl 1536.49016 Harjulehto, Petteri; Hästö, Peter; Juusti, Jonne 1 2023 Maximal regularity for local minimizers of non-autonomous functionals. Zbl 1485.49044 Hästö, Peter; Ok, Jihoon 69 2022 Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 1511.35172 Hästö, Peter; Ok, Jihoon 14 2022 Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034 Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung 31 2021 The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. Zbl 1455.35088 Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 23 2021 Double phase image restoration. Zbl 1472.49026 Harjulehto, Petteri; Hästö, Peter 18 2021 Higher integrability for parabolic systems with Orlicz growth. Zbl 1479.35161 Hästö, Peter; Ok, Jihoon 10 2021 Characterization of generalized Orlicz spaces. Zbl 1454.46033 Ferreira, Rita; Hästö, Peter; Ribeiro, Ana Margarida 8 2020 Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002 Harjulehto, Petteri; Hästö, Peter 309 2019 Boundary regularity under generalized growth conditions. Zbl 1420.49041 Harjulehto, Petteri; Hästö, Peter 30 2019 Calderón-Zygmund estimates in generalized Orlicz spaces. Zbl 1420.35087 Hästö, Peter; Ok, Jihoon 23 2019 Extension in generalized Orlicz spaces. Zbl 1457.46038 Harjulehto, Petteri; Hästö, Peter 5 2019 Extrapolation and interpolation in generalized Orlicz spaces. Zbl 1391.46037 Cruz-Uribe, David; Hästö, Peter 42 2018 Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034 Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 31 2018 Capacities in generalized Orlicz spaces. Zbl 1409.46024 Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter 17 2018 Uniform convexity and associate spaces. Zbl 1465.46032 Harjulehto, Petteri; Hästö, Peter 6 2018 Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. Zbl 1397.42010 Almeida, Alexandre; Diening, Lars; Hästö, Peter 5 2018 Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036 Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli 92 2017 The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041 Harjulehto, Petteri; Hästö, Peter 24 2017 Characterization of the variable exponent Sobolev norm without derivatives. Zbl 1408.46035 Hästö, Peter; Ribeiro, Ana Margarida 6 2017 Generalized Orlicz spaces and related PDE. Zbl 1360.46029 Harjulehto, Petteri; Hästö, Peter; Klén, Riku 75 2016 Corrigendum to “The maximal operator on generalized Orlicz spaces”. Zbl 1460.47014 Hästö, Peter A. 27 2016 Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019 Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti 7 2016 The maximal operator on generalized Orlicz spaces. Zbl 1338.47032 Hästö, Peter A. 73 2015 Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018 Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter 42 2015 Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Zbl 1310.47069 Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T. 17 2015 Point-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration models. Zbl 1359.94034 Harjulehto, Petteri; Hästö, Peter; Tiirola, Juha 1 2015 Interpolation in variable exponent spaces. Zbl 1311.46028 Almeida, Alexandre; Hästö, Peter 14 2014 Critical variable exponent functionals in image restoration. Zbl 1260.94012 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 83 2013 Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics. Zbl 1262.30044 Hästö, Peter; Lindén, Henri; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 17 2012 Gromov hyperbolicity of Denjoy domains through fundamental domains. Zbl 1289.30219 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 1 2012 Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael 1,789 2011 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018 Cruz-Uribe, David; Diening, Lars; Hästö, Peter 88 2011 Harnack’s inequality and the strong \(p(\cdot )\)-Laplacian. Zbl 1205.35084 Adamowicz, Tomasz; Hästö, Peter 21 2011 The strong minimum principle for quasisuperminimizers of non-standard growth. Zbl 1251.49028 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 11 2011 Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolic metric. Zbl 1214.30035 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 8 2011 Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025 Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 3 2011 Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian. Zbl 1254.35070 Harjulehto, P.; Hästö, P.; Latvala, V. 1 2011 Overview of differential equations with non-standard growth. Zbl 1188.35072 Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti 238 2010 Besov spaces with variable smoothness and integrability. Zbl 1194.46045 Almeida, Alexandre; Hästö, Peter 126 2010 Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains. Zbl 1195.30061 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 22 2010 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017 Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 19 2010 Mappings of finite distortion and PDE with nonstandard growth. Zbl 1206.35134 Adamowicz, Tomasz; Hästö, Peter 18 2010 Sobolev inequalities for Orlicz spaces of two variable exponents. Zbl 1206.46035 Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu 13 2010 Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics. Zbl 1190.30030 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 7 2010 Packing sets of patterns. Zbl 1228.05116 Burstein, Alexander; Hästö, Peter 3 2010 Function spaces of variable smoothness and integrability. Zbl 1179.46028 Diening, L.; Hästö, P.; Roudenko, S. 158 2009 Maximal functions in variable exponent spaces: limiting cases of the exponent. Zbl 1180.42010 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu 69 2009 Local-to-global results in variable exponent spaces. Zbl 1184.46033 Hästö, Peter A. 57 2009 Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). Zbl 1204.46021 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 24 2009 Variable exponent spaces on metric measure spaces. Zbl 1189.46027 Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 4 2009 Further results on variable exponent trace spaces. Zbl 1189.46026 Diening, Lars; Hästö, Peter 3 2009 Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 65 2008 Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022 Harjulehto, Petteri; Hästö, Peter 37 2008 Variable exponent trace spaces. Zbl 1134.46016 Diening, Lars; Hästö, Peter 35 2007 An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004 Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N. 26 2007 Isometries of some hyperbolic-type path metric, and the hyperbolic medial axis. Zbl 1147.30029 Hästö, Peter; Ibragimov, Zair; Minda, David; Ponnusamy, Saminathan; Sahoo, Swadesh 22 2007 Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 18 2007 The \(p(x)\)-Laplacian and applications. Zbl 1185.46020 Hästö, Peter A. 16 2007 The maximal operator in Lebesgue spaces with variable exponent near 1. Zbl 1125.46021 Hästö, Peter A. 11 2007 Isometries of the quasihyperbolic metric. Zbl 1221.30092 Hästö, Peter 7 2007 On the density of continuous functions in variable exponent Sobolev space. Zbl 1144.46031 Hästö, Peter A. 7 2007 Apollonian isometries of regular domains are Möbius mappings. Zbl 1114.30048 Hästö, Peter; Ibragimov, Zair 6 2007 Isometries of relative metrics. Zbl 1165.30364 Hästö, Peter 3 2007 Inequalities of generalized hyperbolic metrics. Zbl 1145.30004 Hästö, Peter A. 2 2007 The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 93 2006 Gromov hyperbolicity of the \(j_G\) and \({\tilde\jmath}_G\) metrics. Zbl 1089.30044 Hästö, Peter A. 42 2006 Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 39 2006 Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 30 2006 Isometries of relative metrics. Zbl 1102.30046 Hästö, Peter; Ibragimov, Zair; Lindén, Henri 11 2006 Inequalities and geometry of the Apollonian and related metrics. Zbl 1120.30035 Hästö, Peter; Ponnusamy, S.; Sahoo, S. K. 9 2006 Statistical manifold as an affine space: a functional equation approach. Zbl 1093.62009 Zhang, Jun; Hästö, Peter 8 2006 The Apollonian metric: the comparison property, bilipschitz mappings and thick sets. Zbl 1115.30049 Hästö, 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 1143.46014 Hästö, Peter A. 3 2006 Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. Zbl 1072.42016 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 59 2005 Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 38 2005 Counter-examples of regularity in variable exponent Sobolev spaces. Zbl 1084.46025 Hästö, Peter A. 15 2005 A new weighted metric: the relative metric. II. Zbl 1069.54019 Hästö, Peter A. 10 2005 Apollonian isometries of planar domains are Möbius mappings. Zbl 1081.30039 Hästö, Peter; Ibragimov, Zair 8 2005 Optimal inequalities between Seiffert’s mean and power means. Zbl 1049.26006 Hästö, Peter A. 39 2004 A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021 Harjulehto, Petteri; Hästö, Peter 22 2004 Lebesgue points in variable exponent spaces. Zbl 1079.46022 Harjulehto, Petteri; Hästö, Peter 18 2004 Isometries of the half-Apollonian metric. Zbl 1063.30042 Hästö, Peter; Lindén, Henri 18 2004 The Apollonian inner metric. Zbl 1146.30025 Hästö, Peter A. 9 2004 The Apollonian metric: quasi-isotropy and Seittenranta’s metric. Zbl 1073.30036 Hästö, Peter A. 8 2004 Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023 Harjulehto, Petteri; Hästö, Peter; Martio, Olli 7 2004 Lebesgue points in variable exponent Sobolev spaces on metric measure spaces. Zbl 1199.46079 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 4 2004 An overview of variable exponent Lebesgue and Sobolev spaces. Zbl 1046.46028 Harjulehto, Petteri; Hästö, Peter 45 2003 Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 33 2003 The Apollonian metric: uniformity and quasiconvexity. Zbl 1029.30027 Hästö, Peter A. 18 2003 The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027 Harjulehto, P.; Hästö, P.; Koskenoja, M. 10 2003 Packing patterns into words. Zbl 1031.05007 Burstein, Alexander; Hästö, Peter; Mansour, Toufik 7 2003 The packing density of other layered permutations. Zbl 1037.05001 Hästö, Peter A. 7 2003 The Apollonian metric: limits of the comparison and bilipschitz properties. Zbl 1067.30082 Hästö, Peter A. 6 2003 Distortion in the spherical metric under quasiconformal mappings. Zbl 1071.30023 Hästö, Peter A. 1 2003 A new weighted metric: the relative metric. I. Zbl 1019.54011 Hästö, Peter A. 33 2002 A monotonicity property of ratios of symmetric homogeneous means. Zbl 1026.26025 Hästö, Peter A. 20 2002 all cited Publications top 5 cited Publications all top 5 Cited by 2,078 Authors 79 Shimomura, Tetsu 71 Yang, Dachun 62 Papageorgiou, Nikolaos S. 52 Mizuta, Yoshihiro 52 Rădulescu, Vicenţiu D. 51 Hästö, Peter A. 50 Ohno, Takao 45 Byun, Sun-Sig 38 Ho, Kwok-Pun 38 Rafeiro, Humberto 36 Xu, Jingshi 36 Yuan, Wen 34 Ok, Jihoon 33 Harjulehto, Petteri 32 Samko, Stefan Grigor’evich 32 Winkert, Patrick 31 Chu, Yuming 26 Sawano, Yoshihiro 26 Zhang, Qihu 25 Meskhi, Alexander 25 Weisz, Ferenc 23 Antontsev, Stanislav Nikolaevich 23 Repovš, Dušan D. 23 Rodríguez García, José Manuel 23 Vuorinen, Matti Keijo Kustaa 22 Cruz-Uribe, David Vincente 22 Ge, Bin 21 Zhang, Chao 20 Drihem, Douadi 20 Fiorenza, Alberto 20 Simsen, Jacson 19 Azroul, Elhoussine 19 Benkirane, Abdelmoujib 19 Kokilashvili, Vakhtang 19 Messaoudi, Salim A. 18 Chlebicka, Iwona 18 Dai, Guowei 18 Fu, Yongqiang 18 Górka, Przemysław 18 Piṣkin, Erhan 17 De Filippis, Cristiana 17 Yang, Sibei 17 Zhuo, Ciqiang 16 Guliyev, Vagif Sabir 16 Kim, Yunho 16 Kostić, Marko 16 Mingione, Giuseppe 16 Vetro, Calogero 15 Almeida, Alexandre 15 Diening, Lars 15 Edmunds, David Eric 15 Ferreira, Jorge 15 Ho, Ky 15 Izuki, Mitsuo 15 Jiao, Yong 15 Wang, Liwei 15 Zhang, Binlin 14 Bandaliev, Rovshan Alifaga ogly 14 Fan, Xianling 14 Shahrouzi, Mohammad 14 Shmarev, Sergey I. 14 Tsouli, Najib 13 Kopaliani, Tengiz 13 Liu, Zhenhai 13 Nguyen Thanh Chung 13 Vetro, Francesca 13 Wang, Hongbin 12 Alves, Claudianor Oliveira 12 Aydin, Ismail 12 Gwiazda, Piotr 12 Hjiaj, Hassane 12 Huang, Manzi 12 Karapetyants, Alekseĭ Nikolaevich 12 Karlovych, Oleksiy 12 Noi, Takahiro 12 Ponnusamy, Saminathan 12 Simsen, Mariza Stefanello 12 Surnachëv, Mikhaĭl Dmitrievich 12 Zhao, Jiman 11 Allalou, Chakir 11 Avci, Mustafa 11 Maeda, Fumiyuki 11 Rahmoune, Abita 11 Sin, Cholmin 11 Touzani, Abdelfattah 11 Wang, Miaokun 11 Wang, Xiantao 11 Zeng, Shengda 11 Zhou, Qingshan 10 Aouaoui, Sami 10 Arora, Rakesh 10 Bulíček, Miroslav 10 Filali, Mohammed 10 Fiscella, Alessio 10 Gasiński, Leszek 10 Kempka, Henning 10 Khamsi, Mohamed Amine 10 Klén, Riku 10 Lukkari, Teemu 10 Marcellini, Paolo ...and 1,978 more Authors all top 5 Cited in 385 Serials 192 Journal of Mathematical Analysis and Applications 146 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 68 Mediterranean Journal of Mathematics 55 Journal of Differential Equations 55 Mathematische Nachrichten 49 Complex Variables and Elliptic Equations 45 Mathematical Methods in the Applied Sciences 45 Journal of Inequalities and Applications 44 Applicable Analysis 43 Journal of Function Spaces 39 Calculus of Variations and Partial Differential Equations 38 The Journal of Geometric Analysis 38 Nonlinear Analysis. Real World Applications 35 Journal of Functional Analysis 35 Journal of Elliptic and Parabolic Equations 29 Boundary Value Problems 27 Abstract and Applied Analysis 27 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 25 Results in Mathematics 25 Journal of Mathematical Sciences (New York) 25 Mathematical Inequalities & Applications 25 Advances in Nonlinear Analysis 24 Rendiconti del Circolo Matemàtico di Palermo. Serie II 24 Revista Matemática Complutense 21 Czechoslovak Mathematical Journal 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Potential Analysis 19 Computers & Mathematics with Applications 19 Proceedings of the American Mathematical Society 19 Acta Mathematica Sinica. English Series 19 Banach Journal of Mathematical Analysis 18 Electronic Journal of Differential Equations (EJDE) 18 Boletim da Sociedade Paranaense de Matemática. Terceira Série 17 Monatshefte für Mathematik 17 Georgian Mathematical Journal 17 Analysis and Mathematical Physics 16 Annals of Functional Analysis 16 Advances in Operator Theory 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Communications on Pure and Applied Analysis 15 Journal of Mathematical Inequalities 15 Discrete and Continuous Dynamical Systems. Series S 14 Journal of Mathematical Physics 14 Applied Mathematics Letters 14 Turkish Journal of Mathematics 14 NoDEA. Nonlinear Differential Equations and Applications 14 Positivity 13 Mathematical Notes 13 Collectanea Mathematica 13 Mathematische Annalen 13 Topological Methods in Nonlinear Analysis 13 Opuscula Mathematica 13 Annales Academiae Scientiarum Fennicae. Mathematica 12 Applied Mathematics and Computation 12 Asymptotic Analysis 12 Journal of Pseudo-Differential Operators and Applications 12 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Transactions of A. Razmadze Mathematical Institute 11 Integral Equations and Operator Theory 11 Ricerche di Matematica 11 Zeitschrift für Analysis und ihre Anwendungen 11 Forum Mathematicum 11 Discrete and Continuous Dynamical Systems 11 The Journal of Fourier Analysis and Applications 11 Fractional Calculus & Applied Analysis 11 Computational Methods and Function Theory 11 Complex Analysis and Operator Theory 10 Bulletin des Sciences Mathématiques 10 Taiwanese Journal of Mathematics 10 Communications in Contemporary Mathematics 10 Acta Mathematica Scientia. Series B. (English Edition) 10 Open Mathematics 10 Moroccan Journal of Pure and Applied Analysis 9 Archive for Rational Mechanics and Analysis 9 Ukrainian Mathematical Journal 9 Transactions of the American Mathematical Society 9 Bulletin of the Iranian Mathematical Society 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Analysis and Applications (Singapore) 9 Science China. Mathematics 9 Mathematics in Engineering 8 Quaestiones Mathematicae 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 The Journal of Analysis 8 St. Petersburg Mathematical Journal 8 Journal of Function Spaces and Applications 8 Frontiers of Mathematics in China 8 AIMS Mathematics 7 Analysis Mathematica 7 Manuscripta Mathematica 7 Mathematische Zeitschrift 7 Bulletin of the Korean Mathematical Society 7 Acta Mathematica Hungarica 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 SIAM Journal on Mathematical Analysis 7 Integral Transforms and Special Functions 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Applied Analysis and Computation ...and 285 more Serials all top 5 Cited in 48 Fields 1,504 Partial differential equations (35-XX) 952 Functional analysis (46-XX) 636 Harmonic analysis on Euclidean spaces (42-XX) 287 Operator theory (47-XX) 188 Real functions (26-XX) 167 Functions of a complex variable (30-XX) 123 Calculus of variations and optimal control; optimization (49-XX) 82 Potential theory (31-XX) 76 Fluid mechanics (76-XX) 68 Global analysis, analysis on manifolds (58-XX) 58 Numerical analysis (65-XX) 56 Approximations and expansions (41-XX) 56 Probability theory and stochastic processes (60-XX) 52 Ordinary differential equations (34-XX) 47 Mechanics of deformable solids (74-XX) 41 Geometry (51-XX) 36 Abstract harmonic analysis (43-XX) 33 Differential geometry (53-XX) 30 Combinatorics (05-XX) 30 Integral equations (45-XX) 25 Information and communication theory, circuits (94-XX) 20 Special functions (33-XX) 18 Difference and functional equations (39-XX) 17 Measure and integration (28-XX) 15 General topology (54-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Computer science (68-XX) 11 Optics, electromagnetic theory (78-XX) 11 Systems theory; control (93-XX) 8 Operations research, mathematical programming (90-XX) 6 Statistics (62-XX) 5 Number theory (11-XX) 5 Convex and discrete geometry (52-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Sequences, series, summability (40-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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