Continuity of Sobolev functions of variable exponent on metric spaces
type: Item
instance of: scholarly article
title: Continuity of Sobolev functions of variable exponent on metric spaces
zbMATH Open document ID: 1072.46506
author: Yoshihiro Mizuta
author: Tetsu Shimomura
published in: Proceedings of the Japan Academy. Series A
publication date: 2005-02-24T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1116014784
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 2138346
zbMATH Keywords: Hölder continuity
zbMATH Keywords: differentiability
zbMATH Keywords: weighted Sobolev spaces
zbMATH Keywords: \(A_p\)-weight
zbMATH Keywords: \(p\)-Poincaré inequality
zbMATH Keywords: Sobolev's imbedding theorem of variable exponent
MaRDI profile type: Publication
OpenAlex ID: W1978443607
cites work: \(L^q\)-differentials for weighted Sobolev spaces
cites work: Sobolev met Poincaré
cites work: Q4693180
cites work: Q4021390
cites work: Continuity properties of Riesz potentials and boundary limits of Beppo Levi functions.
cites work: Continuity properties of potentials and Beppo-Levi-Deny functions
cites work: Integral representations, differentiability properties and limits at infinity for Beppo Levi functions
cites work: Differentiability and Holder continuity of Riesz potentials of Orlicz functions
cites work: Continuity and differentiability for weighted Sobolev spaces
cites work: Taylor expansion of Riesz potentials
cites work: Q5607484
DOI: 10.3792/PJAA.80.96
description: scientific article; zbMATH DE number 2138346