Maximal Operator with Rough Kernel in Variable Musielak-Morrey-Orlicz type Spaces, Variable Herz Spaces and Grand Variable Lebesgue Spaces

被引：8

作者：

Rafeiro, Humberto ^{[1
]}

Samko, Stefan ^{[2
]}

机构：

[1] Pontificia Univ Javeriana, Fac Ciencias, Dept Matemat, Cra 7 43-82, Bogota, Colombia

[2] Univ Algarve, Dept Matemat, Campus Gambelas, P-8005139 Faro, Portugal

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2017年 / 89卷 / 01期

关键词：

Rough operator; Maximal operator; Generalized Orlicz-Morrey spaces; Generalized variable Morrey spaces; Variable Herz spaces; SINGULAR INTEGRAL-OPERATORS; LINEAR GROWTH; BOUNDEDNESS; EXPONENT; FUNCTIONALS;

D O I：

10.1007/s00020-017-2398-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the frameworks of some non-standard function spaces (viz. Musielak-Orlicz spaces, generalized Orlicz-Morrey spaces, generalized variable Morrey spaces and variable Herz spaces) we prove the boundedness of the maximal operator with rough kernel. The results are new even for p constant.

引用

页码：111 / 124

页数：14

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