Hästö, Peter; Ok, Jihoon Regularity theory for non-autonomous problems with a priori assumptions. (English) Zbl 07756896 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 251, 28 p. (2023). MSC: 35B65 35A15 35J62 46E35 49N60 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 251, 28 p. (2023; Zbl 07756896) Full Text: DOI arXiv OA License
Hästö, Peter A. A fundamental condition for harmonic analysis in anisotropic generalized Orlicz spaces. (English) Zbl 1509.46018 J. Geom. Anal. 33, No. 1, Paper No. 7, 15 p. (2023). MSC: 46E30 46A55 51M16 PDFBibTeX XMLCite \textit{P. A. Hästö}, J. Geom. Anal. 33, No. 1, Paper No. 7, 15 p. (2023; Zbl 1509.46018) Full Text: DOI arXiv
Harjulehto, Petteri; Hästö, Peter; Słabuszewski, Artur A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains. arXiv:2309.13331 Preprint, arXiv:2309.13331 [math.FA] (2023). MSC: 46E30 46E35 BibTeX Cite \textit{P. Harjulehto} et al., ``A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains'', Preprint, arXiv:2309.13331 [math.FA] (2023) Full Text: arXiv OA License
Bertazzoni, Giacomo; Harjulehto, Petteri; Hästö, Peter Convergence of generalized Orlicz norms with lower growth rate tending to infinity. arXiv:2306.12170 Preprint, arXiv:2306.12170 [math.AP] (2023). MSC: 49J45 46E35 BibTeX Cite \textit{G. Bertazzoni} et al., ``Convergence of generalized Orlicz norms with lower growth rate tending to infinity'', Preprint, arXiv:2306.12170 [math.AP] (2023) Full Text: arXiv OA License
Hästö, Peter; Ok, Jihoon Maximal regularity for local minimizers of non-autonomous functionals. (English) Zbl 1485.49044 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1285-1334 (2022). MSC: 49N60 35A15 35B65 35J62 46E35 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, J. Eur. Math. Soc. (JEMS) 24, No. 4, 1285--1334 (2022; Zbl 1485.49044) Full Text: DOI
Eleuteri, Michela; Harjulehto, Petteri; Hästö, Peter Bounded variation spaces with generalized Orlicz growth related to image denoising. arXiv:2211.15256 Preprint, arXiv:2211.15256 [math.FA] (2022). MSC: 35J60 26B30 35B40 35J25 46E35 49J27 49J45 BibTeX Cite \textit{M. Eleuteri} et al., ``Bounded variation spaces with generalized Orlicz growth related to image denoising'', Preprint, arXiv:2211.15256 [math.FA] (2022) Full Text: arXiv OA License
Harjulehto, Petteri; Hästo, Peter; Lee, Mikyoung Hölder continuity of \(\omega\)-minimizers of functionals with generalized Orlicz growth. (English) Zbl 1482.46034 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 2, 549-582 (2021). MSC: 46E30 35J60 35A15 49J40 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 2, 549--582 (2021; Zbl 1482.46034) Full Text: DOI arXiv
Hästö, Peter; Ok, Jihoon Higher integrability for parabolic systems with Orlicz growth. (English) Zbl 1479.35161 J. Differ. Equations 300, 925-948 (2021). MSC: 35B45 35A15 35D30 35K51 35K59 35J62 46E35 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, J. Differ. Equations 300, 925--948 (2021; Zbl 1479.35161) Full Text: DOI arXiv
Eleuteri, Michela; Harjulehto, Petteri; Hästö, Peter Minimizers of abstract generalized Orlicz–bounded variation energy. arXiv:2112.06622 Preprint, arXiv:2112.06622 [math.AP] (2021). MSC: 35J60 26B30 35B40 35J25 46E35 49J27 49J45 BibTeX Cite \textit{M. Eleuteri} et al., ``Minimizers of abstract generalized Orlicz--bounded variation energy'', Preprint, arXiv:2112.06622 [math.AP] (2021) Full Text: arXiv OA License
Ferreira, Rita; Hästö, Peter; Ribeiro, Ana Margarida Characterization of generalized Orlicz spaces. (English) Zbl 1454.46033 Commun. Contemp. Math. 22, No. 2, Article ID 1850079, 25 p. (2020). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{R. Ferreira} et al., Commun. Contemp. Math. 22, No. 2, Article ID 1850079, 25 p. (2020; Zbl 1454.46033) Full Text: DOI arXiv
Harjulehto, Petteri; Hästö, Peter Extension in generalized Orlicz spaces. (English) Zbl 1457.46038 Nonlinear Stud. 26, No. 4, 861-868 (2019). MSC: 46E30 26B25 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Nonlinear Stud. 26, No. 4, 861--868 (2019; Zbl 1457.46038) Full Text: arXiv Link
Hästö, Peter; Ok, Jihoon Calderón-Zygmund estimates in generalized Orlicz spaces. (English) Zbl 1420.35087 J. Differ. Equations 267, No. 5, 2792-2823 (2019). MSC: 35J25 46E30 35A01 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{J. Ok}, J. Differ. Equations 267, No. 5, 2792--2823 (2019; Zbl 1420.35087) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter Orlicz spaces and generalized Orlicz spaces. (English) Zbl 1436.46002 Lecture Notes in Mathematics 2236. Cham: Springer (ISBN 978-3-030-15099-0/pbk; 978-3-030-15100-3/ebook). x, 167 p. (2019). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 46-02 46E30 42B20 42B25 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Orlicz spaces and generalized Orlicz spaces. Cham: Springer (2019; Zbl 1436.46002) Full Text: DOI
Hästö, Peter; Ok, Jihoon Maximal regularity for local minimizers of non-autonomous functionals. arXiv:1902.00261 Preprint, arXiv:1902.00261 [math.AP] (2019). MSC: 49N60 35A15 35B65 35J62 46E35 BibTeX Cite \textit{P. Hästö} and \textit{J. Ok}, ``Maximal regularity for local minimizers of non-autonomous functionals'', Preprint, arXiv:1902.00261 [math.AP] (2019) Full Text: DOI arXiv OA License
Harjulehto, Petteri; Hästö, Peter Uniform convexity and associate spaces. (English) Zbl 1465.46032 Czech. Math. J. 68, No. 4, 1011-1020 (2018). MSC: 46E30 46A25 46B10 46B20 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Czech. Math. J. 68, No. 4, 1011--1020 (2018; Zbl 1465.46032) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions. (English) Zbl 1403.49034 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 543-552 (2018). MSC: 49N60 35J60 35B65 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 543--552 (2018; Zbl 1403.49034) Full Text: DOI Link
Baruah, Debangana; Harjulehto, Petteri; Hästö, Peter Capacities in generalized Orlicz spaces. (English) Zbl 1409.46024 J. Funct. Spaces 2018, Article ID 8459874, 10 p. (2018). MSC: 46E30 PDFBibTeX XMLCite \textit{D. Baruah} et al., J. Funct. Spaces 2018, Article ID 8459874, 10 p. (2018; Zbl 1409.46024) Full Text: DOI
Almeida, Alexandre; Diening, Lars; Hästö, Peter Homogeneous variable exponent Besov and Triebel-Lizorkin spaces. (English) Zbl 1397.42010 Math. Nachr. 291, No. 8-9, 1177-1190 (2018). MSC: 42B35 42B15 46E35 PDFBibTeX XMLCite \textit{A. Almeida} et al., Math. Nachr. 291, No. 8--9, 1177--1190 (2018; Zbl 1397.42010) Full Text: DOI
Cruz-Uribe, David; Hästö, Peter Extrapolation and interpolation in generalized Orlicz spaces. (English) Zbl 1391.46037 Trans. Am. Math. Soc. 370, No. 6, 4323-4349 (2018). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 46E30 42B20 42B25 46B70 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} and \textit{P. Hästö}, Trans. Am. Math. Soc. 370, No. 6, 4323--4349 (2018; Zbl 1391.46037) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter The Riesz potential in generalized Orlicz spaces. (English) Zbl 1412.46041 Forum Math. 29, No. 1, 229-244 (2017). MSC: 46E30 42B20 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Forum Math. 29, No. 1, 229--244 (2017; Zbl 1412.46041) Full Text: DOI Link
Harjulehto, Petteri; Hästö, Peter; Toivanen, Olli Hölder regularity of quasiminimizers under generalized growth conditions. (English) Zbl 1366.35036 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 22, 26 p. (2017). MSC: 35J60 35B65 49J40 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 22, 26 p. (2017; Zbl 1366.35036) Full Text: DOI Link
Hästö, Peter; Ribeiro, Ana Margarida Characterization of the variable exponent Sobolev norm without derivatives. (English) Zbl 1408.46035 Commun. Contemp. Math. 19, No. 3, Article ID 1650022, 13 p. (2017). Reviewer: Alexandre Almeida (Aveiro) MSC: 46E35 42B25 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{A. M. Ribeiro}, Commun. Contemp. Math. 19, No. 3, Article ID 1650022, 13 p. (2017; Zbl 1408.46035) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Klén, Riku Generalized Orlicz spaces and related PDE. (English) Zbl 1360.46029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 155-173 (2016). MSC: 46E35 35J60 46E30 49J40 42B25 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 155--173 (2016; Zbl 1360.46029) Full Text: DOI
Hästö, Peter A. Corrigendum to “The maximal operator on generalized Orlicz spaces”. (English) Zbl 1460.47014 J. Funct. Anal. 271, No. 1, 240-243 (2016). MSC: 47B38 42B25 46E30 PDFBibTeX XMLCite \textit{P. A. Hästö}, J. Funct. Anal. 271, No. 1, 240--243 (2016; Zbl 1460.47014) Full Text: DOI
Hästö, Peter A. The maximal operator on generalized Orlicz spaces. (English) Zbl 1338.47032 J. Funct. Anal. 269, No. 12, 4038-4048 (2015); corrigendum ibid. 271, No. 1, 240-243 (2016). Reviewer: Dachun Yang (Beijing) MSC: 47B38 42B25 46E30 PDFBibTeX XMLCite \textit{P. A. Hästö}, J. Funct. Anal. 269, No. 12, 4038--4048 (2015; Zbl 1338.47032) Full Text: DOI
Almeida, A.; Harjulehto, P.; Hästö, P.; Lukkari, T. Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. (English) Zbl 1310.47069 Ann. Mat. Pura Appl. (4) 194, No. 2, 405-424 (2015). MSC: 47G40 46B70 46E30 35J60 31C45 PDFBibTeX XMLCite \textit{A. Almeida} et al., Ann. Mat. Pura Appl. (4) 194, No. 2, 405--424 (2015; Zbl 1310.47069) Full Text: DOI arXiv Link
Adamowicz, Tomasz; Harjulehto, Petteri; Hästö, Peter Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces. (English) Zbl 1316.42018 Math. Scand. 116, No. 1, 5-22 (2015). Reviewer: Yasuo Komori-Furuya (Kanagawa) MSC: 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{T. Adamowicz} et al., Math. Scand. 116, No. 1, 5--22 (2015; Zbl 1316.42018) Full Text: DOI
Almeida, Alexandre; Hästö, Peter Interpolation in variable exponent spaces. (English) Zbl 1311.46028 Rev. Mat. Complut. 27, No. 2, 657-676 (2014). MSC: 46E35 46B70 46E30 42B15 42B25 PDFBibTeX XMLCite \textit{A. Almeida} and \textit{P. Hästö}, Rev. Mat. Complut. 27, No. 2, 657--676 (2014; Zbl 1311.46028) Full Text: DOI Link
Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu Iterated maximal functions in variable exponent Lebesgue spaces. (English) Zbl 1230.46025 Manuscr. Math. 135, No. 3-4, 381-399 (2011). MSC: 46E30 42B25 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Manuscr. Math. 135, No. 3--4, 381--399 (2011; Zbl 1230.46025) Full Text: DOI
Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael Lebesgue and Sobolev spaces with variable exponents. (English) Zbl 1222.46002 Lecture Notes in Mathematics 2017. Berlin: Springer (ISBN 978-3-642-18362-1/pbk; 978-3-642-18363-8/ebook). x, 509 p. (2011). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 46-02 46E30 46E35 42-02 42B20 42B25 35Q35 76A05 76D03 PDFBibTeX XMLCite \textit{L. Diening} et al., Lebesgue and Sobolev spaces with variable exponents. Berlin: Springer (2011; Zbl 1222.46002) Full Text: DOI
Hästö, Peter; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev inequalities for Orlicz spaces of two variable exponents. (English) Zbl 1206.46035 Glasg. Math. J. 52, No. 2, 227-240 (2010). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{P. Hästö} et al., Glasg. Math. J. 52, No. 2, 227--240 (2010; Zbl 1206.46035) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti Overview of differential equations with non-standard growth. (English) Zbl 1188.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4551-4574 (2010). MSC: 35J60 35J20 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4551--4574 (2010; Zbl 1188.35072) Full Text: DOI
Almeida, Alexandre; Hästö, Peter Besov spaces with variable smoothness and integrability. (English) Zbl 1194.46045 J. Funct. Anal. 258, No. 5, 1628-1655 (2010). MSC: 46E35 PDFBibTeX XMLCite \textit{A. Almeida} and \textit{P. Hästö}, J. Funct. Anal. 258, No. 5, 1628--1655 (2010; Zbl 1194.46045) Full Text: DOI
Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Yoshihiro, Mizuta; Shimomura, Tetsu Maximal functions in variable exponent spaces: limiting cases of the exponent. (English) Zbl 1180.42010 Ann. Acad. Sci. Fenn., Math. 34, No. 2, 503-522 (2009). Reviewer: Julian Musielak (Poznań) MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{L. Diening} et al., Ann. Acad. Sci. Fenn., Math. 34, No. 2, 503--522 (2009; Zbl 1180.42010)
Hästö, Peter A. Local-to-global results in variable exponent spaces. (English) Zbl 1184.46033 Math. Res. Lett. 16, No. 2-3, 263-278 (2009). MSC: 46E30 46E35 42B35 PDFBibTeX XMLCite \textit{P. A. Hästö}, Math. Res. Lett. 16, No. 2--3, 263--278 (2009; Zbl 1184.46033) Full Text: DOI
Futamura, Toshihide; Harjulehto, Petteri; Hästö, Peter; Mizuta, Yoshihiro; Shimomura, Tetsu Variable exponent spaces on metric measure spaces. (English) Zbl 1189.46027 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 107-121 (2009). MSC: 46E35 28A78 28A80 42B20 46E30 46-02 PDFBibTeX XMLCite \textit{T. Futamura} et al., in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 107--121 (2009; Zbl 1189.46027)
Diening, Lars; Hästö, Peter Further results on variable exponent trace spaces. (English) Zbl 1189.46026 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 101-106 (2009). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{L. Diening} and \textit{P. Hästö}, in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 101--106 (2009; Zbl 1189.46026)
Harjulehto, Petteri; Hästö, Peter; Latvala, Visa Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). (English) Zbl 1204.46021 J. Math. Anal. Appl. 352, No. 1, 345-359 (2009). MSC: 46E35 35Q92 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., J. Math. Anal. Appl. 352, No. 1, 345--359 (2009; Zbl 1204.46021) Full Text: DOI
Diening, L.; Hästö, P.; Roudenko, S. Function spaces of variable smoothness and integrability. (English) Zbl 1179.46028 J. Funct. Anal. 256, No. 6, 1731-1768 (2009). Reviewer: Hans Triebel (Jena) MSC: 46E35 46E30 42B35 PDFBibTeX XMLCite \textit{L. Diening} et al., J. Funct. Anal. 256, No. 6, 1731--1768 (2009; Zbl 1179.46028) Full Text: DOI arXiv
Harjulehto, Petteri; Hästö, Peter Sobolev inequalities with variable exponent attaining the values 1 and \(n\). (English) Zbl 1163.46022 Publ. Mat., Barc. 52, No. 2, 347-363 (2008). MSC: 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Publ. Mat., Barc. 52, No. 2, 347--363 (2008; Zbl 1163.46022) Full Text: DOI EuDML
Harjulehto, Petteri; Hästö, Peter; Latvala, Visa Minimizers of the variable exponent, non-uniformly convex Dirichlet energy. (English) Zbl 1142.49007 J. Math. Pures Appl. (9) 89, No. 2, 174-197 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 49J40 35J60 35J20 46E30 26D07 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., J. Math. Pures Appl. (9) 89, No. 2, 174--197 (2008; Zbl 1142.49007) Full Text: DOI
Hästö, Peter A. The \(p(x)\)-Laplacian and applications. (English) Zbl 1185.46020 J. Anal. 15, 53-62 (2007). MSC: 46E30 46E35 31C45 35J65 46-02 46N20 PDFBibTeX XMLCite \textit{P. A. Hästö}, J. Anal. 15, 53--62 (2007; Zbl 1185.46020)
Diening, Lars; Hästö, Peter Variable exponent trace spaces. (English) Zbl 1134.46016 Stud. Math. 183, No. 2, 127-141 (2007). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{L. Diening} and \textit{P. Hästö}, Stud. Math. 183, No. 2, 127--141 (2007; Zbl 1134.46016) Full Text: DOI
Harjulehto, P.; Hästö, P.; Koskenoja, M.; Lukkari, T.; Marola, N. An obstacle problem and superharmonic functions with nonstandard growth. (English) Zbl 1130.31004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 12, 3424-3440 (2007). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C45 35J60 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 12, 3424--3440 (2007; Zbl 1130.31004) Full Text: DOI
Hästö, Peter A. On the density of continuous functions in variable exponent Sobolev space. (English) Zbl 1144.46031 Rev. Mat. Iberoam. 23, No. 1, 213-234 (2007). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 26A15 PDFBibTeX XMLCite \textit{P. A. Hästö}, Rev. Mat. Iberoam. 23, No. 1, 213--234 (2007; Zbl 1144.46031) Full Text: DOI EuDML
Hästö, Peter A. The maximal operator in Lebesgue spaces with variable exponent near 1. (English) Zbl 1125.46021 Math. Nachr. 280, No. 1-2, 74-82 (2007). Reviewer: Stefan G. Samko (Faro) MSC: 46E30 42B25 PDFBibTeX XMLCite \textit{P. A. Hästö}, Math. Nachr. 280, No. 1--2, 74--82 (2007; Zbl 1125.46021) Full Text: DOI
Hästö, Peter A. On the existence of minimizers of the variable exponent Dirichlet energy integral. (On the existance of minimizers of the variable exponent Dirichlet energy integral.) (English) Zbl 1143.46014 Commun. Pure Appl. Anal. 5, No. 3, 415-422 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 31C45 35J65 PDFBibTeX XMLCite \textit{P. A. Hästö}, Commun. Pure Appl. Anal. 5, No. 3, 415--422 (2006; Zbl 1143.46014) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Pere, Mikko Variable exponent Sobolev spaces on metric measure spaces. (English) Zbl 1140.46013 Funct. Approximatio, Comment. Math. 36, 79-94 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Funct. Approximatio, Comment. Math. 36, 79--94 (2006; Zbl 1140.46013) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. (English) Zbl 1120.46016 Potential Anal. 25, No. 3, 205-222 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 49J40 31C45 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Potential Anal. 25, No. 3, 205--222 (2006; Zbl 1120.46016) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Latvala, Visa Sobolev embeddings in metric measure spaces with variable dimension. (English) Zbl 1109.46037 Math. Z. 254, No. 3, 591-609 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 28A78 28A80 42B20 46E30 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Math. Z. 254, No. 3, 591--609 (2006; Zbl 1109.46037) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika Hardy’s inequality in a variable exponent Sobolev space. (English) Zbl 1096.46017 Georgian Math. J. 12, No. 3, 431-442 (2005). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Georgian Math. J. 12, No. 3, 431--442 (2005; Zbl 1096.46017)
Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna Variable Sobolev capacity and the assumptions on the exponent. (English) Zbl 1082.46025 Hudzik, Henryk (ed.) et al., Orlicz centenary volume II. Proceedings of the conferences ‘The Władysław Orlicz centenary conference’ and ‘Function spaces VII’, Poznań, Poland, July 21–25, 2003. Volume II: Contributed papers. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 68, 51-59 (2005). Reviewer: Roman Urban (Wrocław) MSC: 46E35 31B15 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Banach Cent. Publ. 68, 51--59 (2005; Zbl 1082.46025)
Hästö, Peter A. Counter-examples of regularity in variable exponent Sobolev spaces. (English) Zbl 1084.46025 Poggi-Corradini, Pietro (ed.), The \(p\)-harmonic equation and recent advances in analysis. Proceedings of the 3rd prairie analysis seminar, Manhattan, KS, USA, October 17–18, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3610-2/pbk). Contemporary Mathematics 370, 133-143 (2005). MSC: 46E35 PDFBibTeX XMLCite \textit{P. A. Hästö}, Contemp. Math. 370, 133--143 (2005; Zbl 1084.46025)
Harjulehto, Petteri; Hästö, Peter; Pere, Mikko Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator. (English) Zbl 1072.42016 Real Anal. Exch. 30(2004-2005), No. 1, 87-104 (2005). Reviewer: Yang Dachun (Kiel) MSC: 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Real Anal. Exch. 30, No. 1, 87--104 (2005; Zbl 1072.42016) Full Text: DOI Link
Harjulehto, Petteri; Hästö, Peter; Latvala, Visa Lebesgue points in variable exponent Sobolev spaces on metric measure spaces. (English) Zbl 1199.46079 Zb. Pr. Inst. Mat. NAN Ukr. 1, No. 3, 87-99 (2004). MSC: 46E35 30L99 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Zb. Pr. Inst. Mat. NAN Ukr. 1, No. 3, 87--99 (2004; Zbl 1199.46079)
Harjulehto, Petteri; Hästö, Peter Lebesgue points in variable exponent spaces. (English) Zbl 1079.46022 Ann. Acad. Sci. Fenn., Math. 29, No. 2, 295-306 (2004). Reviewer: Giorgi Oniani (Kutaisi) MSC: 46E35 28A15 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Ann. Acad. Sci. Fenn., Math. 29, No. 2, 295--306 (2004; Zbl 1079.46022) Full Text: EuDML
Harjulehto, Petteri; Hästö, Peter; Martio, Olli Fuglede’s theorem in variable exponent Sobolev space. (English) Zbl 1070.46023 Collect. Math. 55, No. 3, 315-324 (2004). MSC: 46E35 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Collect. Math. 55, No. 3, 315--324 (2004; Zbl 1070.46023) Full Text: EuDML
Harjulehto, Petteri; Hästö, Peter A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces. (English) Zbl 1072.46021 Rev. Mat. Complut. 17, No. 1, 129-146 (2004). Reviewer: Jiří Rákosník (Praha) MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Rev. Mat. Complut. 17, No. 1, 129--146 (2004; Zbl 1072.46021) Full Text: DOI EuDML
Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\). (English) Zbl 1078.46021 J. Funct. Spaces Appl. 1, No. 1, 17-33 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 46E35 31B15 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., J. Funct. Spaces Appl. 1, No. 1, 17--33 (2003; Zbl 1078.46021) Full Text: DOI
Harjulehto, P.; Hästö, P.; Koskenoja, M. The Dirichlet energy integral on intervals in variable exponent Sobolev spaces. (English) Zbl 1046.46027 Z. Anal. Anwend. 22, No. 4, 911-923 (2003). MSC: 46E35 31C45 35J65 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Z. Anal. Anwend. 22, No. 4, 911--923 (2003; Zbl 1046.46027) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter An overview of variable exponent Lebesgue and Sobolev spaces. (English) Zbl 1046.46028 Herron, David (ed.), Future trends in geometric function theory. Proceedings of the workshop, Jyväskylä, Finland, June 15–18, 2003. Jyväskylä: Univ. of Jyväskylä, Dept. of Mathematics and Statistics (ISBN 951-39-1615-4/pbk). Rep., Univ. Jyväskylä, Dep. Math. Stat. 92, 85-93 (2003). MSC: 46E35 46-02 PDFBibTeX XMLCite \textit{P. Harjulehto} and \textit{P. Hästö}, Rep., Univ. Jyväskylä, Dep. Math. Stat. 92, 85--93 (2003; Zbl 1046.46028)