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 8 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 14 Reviews Co-Authors: 56 Co-Authors with 91 Joint Publications 1,150 Co-Co-Authors all top 5 Co-Authors 26 single-authored 47 Harjulehto, Petteri 7 Diening, Lars 7 Koskenoja, Mika 7 Latvala, Visa 6 Ok, Jihoon 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 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 Kbiri Alaoui, Mohammed 1 Lê Văn Út 1 Lee, Mikyoung 1 Mansour, Toufik 1 Marola, Niko 1 Martio, Olli 1 Messaoudi, Salim A. 1 Nuortio, Matti 1 Ohno, Takao 1 Rafeiro, Humberto 1 Rasila, Antti 1 Roudenko, Svetlana 1 Růžička, Michael 1 Słabuszewski, Artur 1 Tiirola, Juha 1 Torricelli, Andrea 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 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 Mathematical Methods in the Applied Sciences 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 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 62 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) 18 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 Ordinary differential equations (34-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 98 Publications have been cited 4,132 times in 2,348 Documents Cited by ▼ Year ▼ Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael 1,503 2011 Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002 Harjulehto, Petteri; Hästö, Peter 236 2019 Overview of differential equations with non-standard growth. Zbl 1188.35072 Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti 227 2010 Function spaces of variable smoothness and integrability. Zbl 1179.46028 Diening, L.; Hästö, P.; Roudenko, S. 143 2009 Besov spaces with variable smoothness and integrability. Zbl 1194.46045 Almeida, Alexandre; Hästö, Peter 117 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 86 2006 Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036 Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli 86 2017 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018 Cruz-Uribe, David; Diening, Lars; Hästö, Peter 79 2011 Critical variable exponent functionals in image restoration. Zbl 1260.94012 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 75 2013 Maximal functions in variable exponent spaces: limiting cases of the exponent. Zbl 1180.42010 Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu 66 2009 Generalized Orlicz spaces and related PDE. Zbl 1360.46029 Harjulehto, Petteri; Hästö, Peter; Klén, Riku 66 2016 The maximal operator on generalized Orlicz spaces. Zbl 1338.47032 Hästö, Peter A. 64 2015 Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 62 2008 Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. Zbl 1072.42016 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 56 2005 Local-to-global results in variable exponent spaces. Zbl 1184.46033 Hästö, Peter A. 55 2009 Maximal regularity for local minimizers of non-autonomous functionals. Zbl 1485.49044 Hästö, Peter; Ok, Jihoon 50 2022 An overview of variable exponent Lebesgue and Sobolev spaces. Zbl 1046.46028 Harjulehto, Petteri; Hästö, Peter 41 2003 Gromov hyperbolicity of the \(j_G\) and \({\tilde\jmath}_G\) metrics. Zbl 1089.30044 Hästö, Peter A. 40 2006 Optimal inequalities between Seiffert’s mean and power means. Zbl 1049.26006 Hästö, Peter A. 38 2004 Extrapolation and interpolation in generalized Orlicz spaces. Zbl 1391.46037 Cruz-Uribe, David; Hästö, Peter 36 2018 Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018 Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter 36 2015 Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 35 2006 Variable exponent trace spaces. Zbl 1134.46016 Diening, Lars; Hästö, Peter 33 2007 Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 32 2003 Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 32 2005 A new weighted metric: the relative metric. I. Zbl 1019.54011 Hästö, Peter A. 30 2002 Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022 Harjulehto, Petteri; Hästö, Peter 30 2008 Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034 Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 29 2018 Corrigendum to “The maximal operator on generalized Orlicz spaces”. Zbl 1460.47014 Hästö, Peter A. 27 2016 Boundary regularity under generalized growth conditions. Zbl 1420.49041 Harjulehto, Petteri; Hästö, Peter 25 2019 An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004 Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N. 25 2007 Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 25 2006 Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). Zbl 1204.46021 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 24 2009 Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034 Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung 24 2021 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 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 21 2007 A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021 Harjulehto, Petteri; Hästö, Peter 21 2004 Calderón-Zygmund estimates in generalized Orlicz spaces. Zbl 1420.35087 Hästö, Peter; Ok, Jihoon 20 2019 Harnack’s inequality and the strong \(p(\cdot )\)-Laplacian. Zbl 1205.35084 Adamowicz, Tomasz; Hästö, Peter 19 2011 A monotonicity property of ratios of symmetric homogeneous means. Zbl 1026.26025 Hästö, Peter A. 18 2002 Lebesgue points in variable exponent spaces. Zbl 1079.46022 Harjulehto, Petteri; Hästö, Peter 18 2004 The Apollonian metric: uniformity and quasiconvexity. Zbl 1029.30027 Hästö, Peter A. 17 2003 Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 17 2007 Capacities in generalized Orlicz spaces. Zbl 1409.46024 Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter 17 2018 The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041 Harjulehto, Petteri; Hästö, Peter 17 2017 Mappings of finite distortion and PDE with nonstandard growth. Zbl 1206.35134 Adamowicz, Tomasz; Hästö, Peter 17 2010 Isometries of the half-Apollonian metric. Zbl 1063.30042 Hästö, Peter; Lindén, Henri 16 2004 The \(p(x)\)-Laplacian and applications. Zbl 1185.46020 Hästö, Peter A. 16 2007 The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. Zbl 1455.35088 Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 15 2021 Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Zbl 1310.47069 Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T. 15 2015 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017 Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 15 2010 Counter-examples of regularity in variable exponent Sobolev spaces. Zbl 1084.46025 Hästö, Peter A. 14 2005 Double phase image restoration. Zbl 1472.49026 Harjulehto, Petteri; Hästö, Peter 14 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 14 2012 Sobolev inequalities for Orlicz spaces of two variable exponents. Zbl 1206.46035 Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu 13 2010 Interpolation in variable exponent spaces. Zbl 1311.46028 Almeida, Alexandre; Hästö, Peter 12 2014 The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027 Harjulehto, P.; Hästö, P.; Koskenoja, M. 11 2003 The strong minimum principle for quasisuperminimizers of non-standard growth. Zbl 1251.49028 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 11 2011 Isometries of relative metrics. Zbl 1102.30046 Hästö, Peter; Ibragimov, Zair; Lindén, Henri 10 2006 The maximal operator in Lebesgue spaces with variable exponent near 1. Zbl 1125.46021 Hästö, Peter A. 10 2007 Inequalities and geometry of the Apollonian and related metrics. Zbl 1120.30035 Hästö, Peter; Ponnusamy, S.; Sahoo, S. K. 10 2006 Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 1511.35172 Hästö, Peter; Ok, Jihoon 10 2022 The Apollonian inner metric. Zbl 1146.30025 Hästö, Peter A. 9 2004 A new weighted metric: the relative metric. II. Zbl 1069.54019 Hästö, Peter A. 9 2005 Statistical manifold as an affine space: a functional equation approach. Zbl 1093.62009 Zhang, Jun; Hästö, Peter 8 2006 The Apollonian metric: quasi-isotropy and Seittenranta’s metric. Zbl 1073.30036 Hästö, Peter A. 8 2004 Packing patterns into words. Zbl 1031.05007 Burstein, Alexander; Hästö, Peter; Mansour, Toufik 7 2003 On the density of continuous functions in variable exponent Sobolev space. Zbl 1144.46031 Hästö, Peter A. 7 2007 Fuglede’s theorem in variable exponent Sobolev space. Zbl 1070.46023 Harjulehto, Petteri; Hästö, Peter; Martio, Olli 7 2004 Characterization of generalized Orlicz spaces. Zbl 1454.46033 Ferreira, Rita; Hästö, Peter; Ribeiro, Ana Margarida 7 2020 Apollonian isometries of planar domains are Möbius mappings. Zbl 1081.30039 Hästö, Peter; Ibragimov, Zair 7 2005 Geometric properties of \(\varphi \)-uniform domains. Zbl 1366.30019 Hästö, Peter; Klén, Riku; Sahoo, Swadesh Kumar; Vuorinen, Matti 7 2016 Higher integrability for parabolic systems with Orlicz growth. Zbl 1479.35161 Hästö, Peter; Ok, Jihoon 7 2021 Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics. Zbl 1190.30030 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 7 2010 Isometries of the quasihyperbolic metric. Zbl 1221.30092 Hästö, Peter 6 2007 The Apollonian metric: limits of the comparison and bilipschitz properties. Zbl 1067.30082 Hästö, Peter A. 6 2003 Characterization of the variable exponent Sobolev norm without derivatives. Zbl 1408.46035 Hästö, Peter; Ribeiro, Ana Margarida 6 2017 Uniformly separated sets and Gromov hyperbolicity of domains with the quasihyperbolic metric. Zbl 1214.30035 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 6 2011 The packing density of other layered permutations. Zbl 1037.05001 Hästö, Peter A. 5 2003 Apollonian isometries of regular domains are Möbius mappings. Zbl 1114.30048 Hästö, Peter; Ibragimov, Zair 5 2007 Uniform convexity and associate spaces. Zbl 1465.46032 Harjulehto, Petteri; Hästö, Peter 4 2018 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 Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. Zbl 1397.42010 Almeida, Alexandre; Diening, Lars; Hästö, Peter 4 2018 A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces. Zbl 1509.46018 Hästö, Peter A. 4 2023 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 Extension in generalized Orlicz spaces. Zbl 1457.46038 Harjulehto, Petteri; Hästö, Peter 3 2019 Iterated maximal functions in variable exponent Lebesgue spaces. Zbl 1230.46025 Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu 3 2011 Packing sets of patterns. Zbl 1228.05116 Burstein, Alexander; Hästö, Peter 3 2010 Inequalities of generalized hyperbolic metrics. Zbl 1145.30004 Hästö, Peter A. 2 2007 Regularity theory for non-autonomous problems with a priori assumptions. Zbl 07756896 Hästö, Peter; Ok, Jihoon 2 2023 Isometries of relative metrics. Zbl 1165.30364 Hästö, Peter 1 2007 Distortion in the spherical metric under quasiconformal mappings. Zbl 1071.30023 Hästö, Peter A. 1 2003 Further results on variable exponent trace spaces. Zbl 1189.46026 Diening, Lars; Hästö, Peter 1 2009 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 Gromov hyperbolicity of Denjoy domains through fundamental domains. Zbl 1289.30219 Hästö, Peter; Portilla, Ana; Rodríguez, José M.; Tourís, Eva 1 2012 A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces. Zbl 1509.46018 Hästö, Peter A. 4 2023 Regularity theory for non-autonomous problems with a priori assumptions. Zbl 07756896 Hästö, Peter; Ok, Jihoon 2 2023 Maximal regularity for local minimizers of non-autonomous functionals. Zbl 1485.49044 Hästö, Peter; Ok, Jihoon 50 2022 Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure. Zbl 1511.35172 Hästö, Peter; Ok, Jihoon 10 2022 Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. Zbl 1482.46034 Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung 24 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 15 2021 Double phase image restoration. Zbl 1472.49026 Harjulehto, Petteri; Hästö, Peter 14 2021 Higher integrability for parabolic systems with Orlicz growth. Zbl 1479.35161 Hästö, Peter; Ok, Jihoon 7 2021 Characterization of generalized Orlicz spaces. Zbl 1454.46033 Ferreira, Rita; Hästö, Peter; Ribeiro, Ana Margarida 7 2020 Orlicz spaces and generalized Orlicz spaces. Zbl 1436.46002 Harjulehto, Petteri; Hästö, Peter 236 2019 Boundary regularity under generalized growth conditions. Zbl 1420.49041 Harjulehto, Petteri; Hästö, Peter 25 2019 Calderón-Zygmund estimates in generalized Orlicz spaces. Zbl 1420.35087 Hästö, Peter; Ok, Jihoon 20 2019 Extension in generalized Orlicz spaces. Zbl 1457.46038 Harjulehto, Petteri; Hästö, Peter 3 2019 Extrapolation and interpolation in generalized Orlicz spaces. Zbl 1391.46037 Cruz-Uribe, David; Hästö, Peter 36 2018 Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. Zbl 1403.49034 Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu 29 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 4 2018 Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. Zbl 1397.42010 Almeida, Alexandre; Diening, Lars; Hästö, Peter 4 2018 Hölder regularity of quasiminimizers under generalized growth conditions. Zbl 1366.35036 Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli 86 2017 The Riesz potential in generalized Orlicz spaces. Zbl 1412.46041 Harjulehto, Petteri; Hästö, Peter 17 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 66 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. 64 2015 Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. Zbl 1316.42018 Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter 36 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. 15 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 12 2014 Critical variable exponent functionals in image restoration. Zbl 1260.94012 Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O. 75 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 14 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 1,503 2011 The maximal operator on weighted variable Lebesgue spaces. Zbl 1273.42018 Cruz-Uribe, David; Diening, Lars; Hästö, Peter 79 2011 Harnack’s inequality and the strong \(p(\cdot )\)-Laplacian. Zbl 1205.35084 Adamowicz, Tomasz; Hästö, Peter 19 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 6 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 227 2010 Besov spaces with variable smoothness and integrability. Zbl 1194.46045 Almeida, Alexandre; Hästö, Peter 117 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 Mappings of finite distortion and PDE with nonstandard growth. Zbl 1206.35134 Adamowicz, Tomasz; Hästö, Peter 17 2010 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017 Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 15 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. 143 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 66 2009 Local-to-global results in variable exponent spaces. Zbl 1184.46033 Hästö, Peter A. 55 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 1 2009 Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. Zbl 1142.49007 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 62 2008 Sobolev inequalities with variable exponent attaining the values 1 and \(n\). Zbl 1163.46022 Harjulehto, Petteri; Hästö, Peter 30 2008 Variable exponent trace spaces. Zbl 1134.46016 Diening, Lars; Hästö, Peter 33 2007 An obstacle problem and superharmonic functions with nonstandard growth. Zbl 1130.31004 Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N. 25 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 21 2007 Properties of capacities in variable exponent Sobolev spaces. Zbl 1143.31003 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 17 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. 10 2007 On the density of continuous functions in variable exponent Sobolev space. Zbl 1144.46031 Hästö, Peter A. 7 2007 Isometries of the quasihyperbolic metric. Zbl 1221.30092 Hästö, Peter 6 2007 Apollonian isometries of regular domains are Möbius mappings. Zbl 1114.30048 Hästö, Peter; Ibragimov, Zair 5 2007 Inequalities of generalized hyperbolic metrics. Zbl 1145.30004 Hästö, Peter A. 2 2007 Isometries of relative metrics. Zbl 1165.30364 Hästö, Peter 1 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 86 2006 Gromov hyperbolicity of the \(j_G\) and \({\tilde\jmath}_G\) metrics. Zbl 1089.30044 Hästö, Peter A. 40 2006 Sobolev embeddings in metric measure spaces with variable dimension. Zbl 1109.46037 Harjulehto, Petteri; Hästö, Peter; Latvala, Visa 35 2006 Variable exponent Sobolev spaces on metric measure spaces. Zbl 1140.46013 Harjulehto, Petteri; Hästö, Peter; Pere, Mikko 25 2006 Isometries of relative metrics. Zbl 1102.30046 Hästö, Peter; Ibragimov, Zair; Lindén, Henri 10 2006 Inequalities and geometry of the Apollonian and related metrics. Zbl 1120.30035 Hästö, Peter; Ponnusamy, S.; Sahoo, S. K. 10 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 56 2005 Hardy’s inequality in a variable exponent Sobolev space. Zbl 1096.46017 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika 32 2005 Counter-examples of regularity in variable exponent Sobolev spaces. Zbl 1084.46025 Hästö, Peter A. 14 2005 A new weighted metric: the relative metric. II. Zbl 1069.54019 Hästö, Peter A. 9 2005 Apollonian isometries of planar domains are Möbius mappings. Zbl 1081.30039 Hästö, Peter; Ibragimov, Zair 7 2005 Optimal inequalities between Seiffert’s mean and power means. Zbl 1049.26006 Hästö, Peter A. 38 2004 A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. Zbl 1072.46021 Harjulehto, Petteri; Hästö, Peter 21 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 16 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 41 2003 Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). Zbl 1078.46021 Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna 32 2003 The Apollonian metric: uniformity and quasiconvexity. Zbl 1029.30027 Hästö, Peter A. 17 2003 The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. Zbl 1046.46027 Harjulehto, P.; Hästö, P.; Koskenoja, M. 11 2003 Packing patterns into words. Zbl 1031.05007 Burstein, Alexander; Hästö, Peter; Mansour, Toufik 7 2003 The Apollonian metric: limits of the comparison and bilipschitz properties. Zbl 1067.30082 Hästö, Peter A. 6 2003 The packing density of other layered permutations. Zbl 1037.05001 Hästö, Peter A. 5 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. 30 2002 A monotonicity property of ratios of symmetric homogeneous means. Zbl 1026.26025 Hästö, Peter A. 18 2002 all cited Publications top 5 cited Publications all top 5 Cited by 1,842 Authors 73 Shimomura, Tetsu 64 Yang, Dachun 49 Mizuta, Yoshihiro 49 Papageorgiou, Nikolaos S. 48 Hästö, Peter A. 47 Ohno, Takao 47 Rădulescu, Vicenţiu D. 39 Byun, Sun-Sig 35 Ho, Kwok-Pun 33 Ok, Jihoon 33 Rafeiro, Humberto 32 Xu, Jingshi 31 Chu, Yuming 31 Harjulehto, Petteri 29 Samko, Stefan Grigor’evich 29 Yuan, Wen 26 Winkert, Patrick 26 Zhang, Qihu 25 Sawano, Yoshihiro 23 Rodríguez García, José Manuel 23 Vuorinen, Matti Keijo Kustaa 20 Drihem, Douadi 20 Meskhi, Alexander 20 Repovš, Dušan D. 20 Simsen, Jacson 19 Antontsev, Stanislav Nikolaevich 19 Cruz-Uribe, David Vincente 19 Ge, Bin 19 Weisz, Ferenc 18 Benkirane, Abdelmoujib 18 Fiorenza, Alberto 18 Fu, Yongqiang 17 Dai, Guowei 17 De Filippis, Cristiana 17 Górka, Przemysław 17 Kokilashvili, Vakhtang 17 Zhuo, Ciqiang 16 Azroul, Elhoussine 16 Chlebicka, Iwona 16 Mingione, Giuseppe 16 Zhang, Chao 15 Guliyev, Vagif Sabir 15 Messaoudi, Salim A. 15 Vetro, Calogero 15 Yang, Sibei 15 Zhang, Binlin 14 Almeida, Alexandre 14 Bandaliev, Rovshan Alifaga ogly 14 Fan, Xianling 14 Izuki, Mitsuo 14 Kim, Yunho 13 Ho, Ky 13 Kostić, Marko 13 Shmarev, Sergey I. 13 Wang, Liwei 12 Alves, Claudianor Oliveira 12 Gwiazda, Piotr 12 Jiao, Yong 12 Karapetyants, Alekseĭ Nikolaevich 12 Karlovych, Oleksiy 12 Nguyen Thanh Chung 12 Piṣkin, Erhan 12 Simsen, Mariza Stefanello 11 Diening, Lars 11 Edmunds, David Eric 11 Kopaliani, Tengiz 11 Maeda, Fumiyuki 11 Noi, Takahiro 11 Shahrouzi, Mohammad 11 Sin, Cholmin 11 Surnachëv, Mikhaĭl Dmitrievich 11 Wang, Xiantao 11 Zhao, Jiman 10 Aouaoui, Sami 10 Aydin, Ismail 10 Bulíček, Miroslav 10 Kempka, Henning 10 Liu, Zhenhai 10 Lukkari, Teemu 10 Ponnusamy, Saminathan 10 Rahmoune, Abita 10 Rainio, Oona 10 Sigarreta Almira, José María 10 Tan, Jian 10 Touzani, Abdelfattah 10 Vetro, Francesca 10 Wang, Miaokun 9 Arora, Rakesh 9 Gasiński, Leszek 9 Hjiaj, Hassane 9 Klén, Riku 9 Lee, Mikyoung 9 Li, Yaxiang 9 Nakai, Eiichi 9 Pucci, Patrizia 9 Testici, Ahmet 9 Tsouli, Najib 9 Zhang, Yangyang 8 Afrouzi, Ghasem Alizadeh 8 Ahmed, Ahmed ...and 1,742 more Authors all top 5 Cited in 359 Serials 168 Journal of Mathematical Analysis and Applications 138 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 58 Mediterranean Journal of Mathematics 48 Complex Variables and Elliptic Equations 46 Journal of Differential Equations 42 Journal of Function Spaces 41 Journal of Inequalities and Applications 40 Applicable Analysis 37 Calculus of Variations and Partial Differential Equations 34 Mathematische Nachrichten 33 Nonlinear Analysis. Real World Applications 32 Journal of Functional Analysis 32 The Journal of Geometric Analysis 27 Abstract and Applied Analysis 27 Boundary Value Problems 27 Journal of Elliptic and Parabolic Equations 25 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 23 Journal of Mathematical Sciences (New York) 22 Mathematical Methods in the Applied Sciences 22 Revista Matemática Complutense 20 Potential Analysis 20 Advances in Nonlinear Analysis 19 Computers & Mathematics with Applications 19 Czechoslovak Mathematical Journal 19 Results in Mathematics 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Rendiconti del Circolo Matemàtico di Palermo. Serie II 18 Mathematical Inequalities & Applications 17 Banach Journal of Mathematical Analysis 16 Proceedings of the American Mathematical Society 16 Electronic Journal of Differential Equations (EJDE) 16 Georgian Mathematical Journal 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Monatshefte für Mathematik 15 Acta Mathematica Sinica. English Series 15 Analysis and Mathematical Physics 14 Turkish Journal of Mathematics 13 Journal of Mathematical Physics 13 Collectanea Mathematica 13 Positivity 13 Communications on Pure and Applied Analysis 13 Boletim da Sociedade Paranaense de Matemática. Terceira Série 13 Discrete and Continuous Dynamical Systems. Series S 12 Applied Mathematics and Computation 12 Applied Mathematics Letters 12 Topological Methods in Nonlinear Analysis 12 Opuscula Mathematica 12 Annales Academiae Scientiarum Fennicae. Mathematica 12 Journal of Pseudo-Differential Operators and Applications 12 Annals of Functional Analysis 12 Advances in Operator Theory 11 Mathematical Notes 11 Asymptotic Analysis 11 Forum Mathematicum 11 Computational Methods and Function Theory 11 Complex Analysis and Operator Theory 11 Journal of Mathematical Inequalities 11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 11 Transactions of A. Razmadze Mathematical Institute 10 Integral Equations and Operator Theory 10 Mathematische Annalen 10 NoDEA. Nonlinear Differential Equations and Applications 10 The Journal of Fourier Analysis and Applications 10 Fractional Calculus & Applied Analysis 10 Acta Mathematica Scientia. Series B. (English Edition) 9 Ukrainian Mathematical Journal 9 Transactions of the American Mathematical Society 9 Zeitschrift für Analysis und ihre Anwendungen 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 Discrete and Continuous Dynamical Systems 9 Communications in Contemporary Mathematics 9 Open Mathematics 8 Archive for Rational Mechanics and Analysis 8 Ricerche di Matematica 8 Bulletin des Sciences Mathématiques 8 Taiwanese Journal of Mathematics 8 Journal of Function Spaces and Applications 8 Frontiers of Mathematics in China 8 Science China. Mathematics 8 AIMS Mathematics 8 Mathematics in Engineering 7 Manuscripta Mathematica 7 Mathematische Zeitschrift 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 SIAM Journal on Mathematical Analysis 7 St. Petersburg Mathematical Journal 7 Integral Transforms and Special Functions 7 Discrete and Continuous Dynamical Systems. Series B 6 Analysis Mathematica 6 Indian Journal of Pure & Applied Mathematics 6 International Journal of Mathematics and Mathematical Sciences 6 Numerical Functional Analysis and Optimization 6 Bulletin of the Korean Mathematical Society 6 Acta Mathematica Hungarica 6 Bulletin of the Iranian Mathematical Society 6 Journal of Applied Mathematics 6 Kyoto Journal of Mathematics ...and 259 more Serials all top 5 Cited in 47 Fields 1,259 Partial differential equations (35-XX) 831 Functional analysis (46-XX) 551 Harmonic analysis on Euclidean spaces (42-XX) 230 Operator theory (47-XX) 163 Real functions (26-XX) 149 Functions of a complex variable (30-XX) 111 Calculus of variations and optimal control; optimization (49-XX) 71 Potential theory (31-XX) 71 Fluid mechanics (76-XX) 64 Global analysis, analysis on manifolds (58-XX) 47 Approximations and expansions (41-XX) 47 Probability theory and stochastic processes (60-XX) 46 Ordinary differential equations (34-XX) 44 Numerical analysis (65-XX) 36 Geometry (51-XX) 36 Mechanics of deformable solids (74-XX) 33 Differential geometry (53-XX) 32 Abstract harmonic analysis (43-XX) 28 Combinatorics (05-XX) 23 Integral equations (45-XX) 17 Measure and integration (28-XX) 17 Information and communication theory, circuits (94-XX) 16 Special functions (33-XX) 16 Difference and functional equations (39-XX) 15 General topology (54-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Optics, electromagnetic theory (78-XX) 8 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 Operations research, mathematical programming (90-XX) 6 Statistics (62-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Number theory (11-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) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Mechanics of particles and systems (70-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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