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

Humberto Rafeiro; Stefan Samko

doi:10.1007/s00020-017-2398-2

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

Humberto Rafeiro, Stefan Samko

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	111-124
Number of pages	14
Journal	Integral Equations and Operator Theory
Volume	89
Issue number	1
DOIs	https://doi.org/10.1007/s00020-017-2398-2
Publication status	Published - Sept 1 2017
Externally published	Yes

Keywords

Generalized Orlicz–Morrey spaces
Generalized variable Morrey spaces
Maximal operator
Rough operator
Variable Herz spaces

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-017-2398-2

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Y1 - 2017/9/1

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AB - 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.

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KW - Generalized variable Morrey spaces

KW - Maximal operator

KW - Rough operator

KW - Variable Herz spaces

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

Abstract

Keywords

ASJC Scopus subject areas

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