A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
The Riesz potential in generalized Orlicz spaces
Tekijät: Harjulehto P, Hasto P
Kustantaja: WALTER DE GRUYTER GMBH
Julkaisuvuosi: 2017
Journal: Forum Mathematicum
Tietokannassa oleva lehden nimi: FORUM MATHEMATICUM
Lehden akronyymi: FORUM MATH
Vuosikerta: 29
Numero: 1
Aloitussivu: 229
Lopetussivu: 244
Sivujen määrä: 16
ISSN: 0933-7741
eISSN: 1435-5337
DOI: https://doi.org/10.1515/forum-2015-0239
Tiivistelmä
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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