On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space

被引：6

作者：

Rafeiro, Humberto ^{[1
]}

Samko, Stefan ^{[2
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates

[2] Univ Algarve, Dept Matemat, Faro, Portugal

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 16期

基金：

俄罗斯基础研究基金会;

关键词：

BMO; fractional integral; Riesz potential; variable exponent Campanato spaces; variable exponent Morrey spaces; FRACTIONAL INTEGRALS; HOLDER SPACES; BOUNDEDNESS;

D O I：

10.1002/mma.6187

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Riesz potential of variable order over bounded domains in Euclidean space, we prove the boundedness result from variable exponent Morrey spaces to variable exponent Campanato spaces. A special attention is paid to weaken assumptions on variability of the Riesz potential.

引用

页码：9337 / 9344

页数：8

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