The Riesz potential in generalized Orlicz spaces
Harjulehto, Petteri; Hästö, Peter (2017-01-01)
Harjulehto, Petteri
Hästö, Peter
De Gruyter
01.01.2017
Forum Mathematicum, Volume 29, Issue 1, Pages 229–244, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2015-0239
https://rightsstatements.org/vocab/InC/1.0/
© 2017 by De Gruyter.
https://rightsstatements.org/vocab/InC/1.0/
© 2017 by De Gruyter.
https://rightsstatements.org/vocab/InC/1.0/
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2019032810233
https://urn.fi/URN:NBN:fi-fe2019032810233
Tiivistelmä
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-Hölder continuity that is commonly used in the variable exponent case. We also provide a number of useful auxiliary results including a normalization of the Φ-function and its behavior under duality.
Kokoelmat
- Avoin saatavuus [31937]