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 Mathematical Sciences

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

11 Citations (Scopus)

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
Publication status	Published - Apr 1 2020

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.1134/S2070046620020028

Cite this

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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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AU - Rafeiro, Humberto

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AB - 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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KW - p-adic analysis

KW - variable exponent function spaces

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

Abstract

Keywords

ASJC Scopus subject areas

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