Maximal Operator in Variable Stummel Spaces

Alexandre Almeida; Humberto Rafeiro

doi:10.1007/s00041-022-09940-8

Maximal Operator in Variable Stummel Spaces

Alexandre Almeida, Humberto Rafeiro

Department of Mathematical Sciences

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

5 Citations (Scopus)

Abstract

We prove that variable exponent Morrey spaces are closely embedded between variable exponent Stummel spaces. We also study the boundedness of the maximal operator in variable exponent Stummel spaces as well as in vanishing variable exponent Stummel spaces.

Original language	English
Article number	50
Journal	Journal of Fourier Analysis and Applications
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/s00041-022-09940-8
Publication status	Published - Jun 2022

Keywords

Maximal operator
Muckenhoupt weights
Variable Morrey spaces
Variable Stummel spaces

ASJC Scopus subject areas

Analysis
General Mathematics
Applied Mathematics

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10.1007/s00041-022-09940-8

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title = "Maximal Operator in Variable Stummel Spaces",

abstract = "We prove that variable exponent Morrey spaces are closely embedded between variable exponent Stummel spaces. We also study the boundedness of the maximal operator in variable exponent Stummel spaces as well as in vanishing variable exponent Stummel spaces.",

keywords = "Maximal operator, Muckenhoupt weights, Variable Morrey spaces, Variable Stummel spaces",

author = "Alexandre Almeida and Humberto Rafeiro",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2022",

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doi = "10.1007/s00041-022-09940-8",

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journal = "Journal of Fourier Analysis and Applications",

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T1 - Maximal Operator in Variable Stummel Spaces

AU - Almeida, Alexandre

AU - Rafeiro, Humberto

PY - 2022/6

Y1 - 2022/6

N2 - We prove that variable exponent Morrey spaces are closely embedded between variable exponent Stummel spaces. We also study the boundedness of the maximal operator in variable exponent Stummel spaces as well as in vanishing variable exponent Stummel spaces.

AB - We prove that variable exponent Morrey spaces are closely embedded between variable exponent Stummel spaces. We also study the boundedness of the maximal operator in variable exponent Stummel spaces as well as in vanishing variable exponent Stummel spaces.

KW - Maximal operator

KW - Muckenhoupt weights

KW - Variable Morrey spaces

KW - Variable Stummel spaces

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M3 - Article

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SN - 1069-5869

VL - 28

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 3

M1 - 50

ER -

Maximal Operator in Variable Stummel Spaces

Abstract

Keywords

ASJC Scopus subject areas

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