Continuity properties of Riesz potentials for functions in L^p(⋅) of variable exponent
Continuity properties of Riesz potentials for functions in L^p(⋅) of variable exponent
复制标题
DOI：
10.7153/mia-08-58
复制
发表时间：
2005
影响因子：
1
通讯作者：
Toshihide Futamura;Y. Mizuta
中科院分区：
文献类型：
--
作者：
Toshihide Futamura;Y. Mizuta
本文的目的是在Sobolev定理的边界条件下，讨论变指数Lebesgue空间中函数的Riesz位势的0-保持器连续性.我们还关注Riesz势的指数可积性。
Our aim in this paper is to deal with 0-Holder continuity for Riesz potentials of functions belonging to Lebesgue’s Lp space of variable exponent, in the borderline case of Sobolev’s theorem. We are also concerned with exponential integrability for Riesz potentials.