A1 Refereed original research article in a scientific journal
The Riesz potential in generalized Orlicz spaces
Authors: Harjulehto P, Hasto P
Publisher: WALTER DE GRUYTER GMBH
Publication year: 2017
Journal: Forum Mathematicum
Journal name in source: FORUM MATHEMATICUM
Journal acronym: FORUM MATH
Volume: 29
Issue: 1
First page : 229
Last page: 244
Number of pages: 16
ISSN: 0933-7741
eISSN: 1435-5337
DOI: https://doi.org/10.1515/forum-2015-0239
Abstract
In this article we prove a Riesz potential estimate and a Sobolev inequality for general generalized Orlicz spaces. Our assumptions are natural generalizations of the log-Holder continuity that is commonly used in the variable exponent case. We also provide a number of useful auxiliary results including a normalization of the Phi-function and its behavior under duality
In this article we prove a Riesz potential estimate and a Sobolev inequality for general generalized Orlicz spaces. Our assumptions are natural generalizations of the log-Holder continuity that is commonly used in the variable exponent case. We also provide a number of useful auxiliary results including a normalization of the Phi-function and its behavior under duality
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