On the continuity of Bessel potentials in Orlicz spaces
type: Item
instance of: scholarly article
title: On the continuity of Bessel potentials in Orlicz spaces
zbMATH Open document ID: 0852.46028
author: Yanyan Li
published in: Collectanea Mathematica
publication date: 1996-06-30T00:00:00Z
full work available at URL: https://eudml.org/doc/40151
review text: It is shown that Bessel capacities in reflexive Orlicz spaces are non-increasing under orthogonal projection of sets. This is used to describe sets for which the potentials are continuous. In particular, for Bessel potentials, we have more information about their differentiability. On the other hand we show that the null sets (for Bessel capacities in Orlicz spaces) are conserved by some special Lipschitzian maps. The obtained results generalize those of N. G. Meyers and Yu. G. Reshetnyak, in the case of Lebesgue spaces.
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 894172
zbMATH Keywords: nonlinear potential
zbMATH Keywords: Bessel capacities
zbMATH Keywords: reflexive Orlicz spaces
zbMATH Keywords: Bessel potentials
zbMATH Keywords: null sets
zbMATH Keywords: Lipschitzian maps
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 894172