Fractional Operators in p -adic Variable Exponent Lebesgue Spaces and Application to p -adic Derivative-Reference-Cited by-同舟云学术

Fractional Operators in p -adic Variable Exponent Lebesgue Spaces and Application to p -adic Derivative

Published:2021-09-18 Issue: Volume:2021 Page:1-9
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Chacón-Cortés Leonardo Fabio¹^ORCID,Rafeiro Humberto²^ORCID

Affiliation:

1. Departamento de Matemáticas, Facultad de Ciencias, Pontificia Universidad Javeriana, Cra. 7 No. 43-82, Bogotá, Colombia

2. Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, UAE

Abstract

In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the

p

-adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the

p

-adic variable exponent Lebesgue spaces.

Funder

United Arab Emirates University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/3096701.pdf

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