Continuity of Sobolev functions of variable exponent on metric spaces

DOI10.3792/pjaa.80.96zbMath1072.46506OpenAlexW1978443607MaRDI QIDQ1764336

Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 24 February 2005

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116014784

zbMATH Keywords

differentiabilityweighted Sobolev spacesHölder continuity\(A_p\)-weight\(p\)-Poincaré inequalitySobolev's imbedding theorem of variable exponent

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Fractional and hypersingular operators in variable exponent spaces on metric measure spaces, Ergodic theorem in variable {L}ebesgue spaces, Musielak-Orlicz-Sobolev spaces on metric measure spaces, Generalized solution of the double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces, Iterated maximal functions in variable exponent Lebesgue spaces, Variable Hajłasz-Sobolev spaces on compact metric spaces, The boundedness of fractional maximal operators on variable Lebesgue spaces over spaces of homogeneous type, The double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces, Relatively compact sets in variable-exponent Lebesgue spaces, Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces, Sobolev embeddings in metric measure spaces with variable dimension, Almost everything you need to know about relatively compact sets in variable Lebesgue spaces, Variable exponent Sobolev spaces and regularity of domains, Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order, The maximal operator on weighted variable Lebesgue spaces

Cites Work

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