Title of article
Sobolev’s inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space Lp(·)(log L)q(·)
Author/Authors
Yoshihiro Mizuta، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
16
From page
70
To page
85
Abstract
Our aim in this paper is to deal with Sobolev’s inequalities for Riesz potentials of functions
belonging to Lp(·)(log L)q(·). To do so, we study the boundedness of Hardy–Littlewood
maximal functions and apply the Hedberg’s trick. As an application, we treat vanishing
integrability for Riesz potentials.
Keywords
Variable exponentSobolev’s inequalityRiesz potentialsMean continuityVanishing exponential integrability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937276
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