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

Departamento de Matemáticas

United Arab Emirates University

Producción: Contribución a una revista › Artículo › revisión exhaustiva

12 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	90-111
Número de páginas	22
Publicación	P-Adic Numbers, Ultrametric Analysis, and Applications
Volumen	12
N.º	2
DOI	https://doi.org/10.1134/S2070046620020028
Estado	Publicada - 01 abr. 2020

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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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KW - Hardy-Littlewood maximal over Q

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

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