Variable Exponent Lebesgue Spaces and Hardy-Littlewood Maximal Function on p-Adic Numbers

Leonardo Fabio Chacón-Cortés; Humberto Rafeiro

doi:10.1134/S2070046620020028

Variable Exponent Lebesgue Spaces and Hardy-Littlewood Maximal Function on p-Adic Numbers

Leonardo Fabio Chacón-Cortés, Humberto Rafeiro

Department of Mathematics

United Arab Emirates University

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

9 Scopus citations

Abstract

In this paper we introduce variable exponent Lebesgue spaces where the underlying space is the field of the p-adic numbers. We prove many properties of the spaces and also study the boundedness of the maximal operator as well as its application to convolution operators.

Original language	English
Pages (from-to)	90-111
Number of pages	22
Journal	P-Adic Numbers, Ultrametric Analysis, and Applications
Volume	12
Issue number	2
DOIs	https://doi.org/10.1134/S2070046620020028
State	Published - 01 Apr 2020

Keywords

Hardy-Littlewood maximal over Q
p-adic analysis
variable exponent function spaces

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10.1134/S2070046620020028

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abstract = "In this paper we introduce variable exponent Lebesgue spaces where the underlying space is the field of the p-adic numbers. We prove many properties of the spaces and also study the boundedness of the maximal operator as well as its application to convolution operators.",

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Variable Exponent Lebesgue Spaces and Hardy-Littlewood Maximal Function on p-Adic Numbers

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