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

Leonardo Fabio Chacón-Cortés; Humberto Rafeiro

doi:10.1155/2021/3096701

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

Leonardo Fabio Chacón-Cortés
, Humberto Rafeiro

Department of Mathematics

United Arab Emirates University

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

7 Scopus citations

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.

Original language	English
Article number	3096701
Journal	Journal of Function Spaces
Volume	2021
DOIs	https://doi.org/10.1155/2021/3096701
State	Published - 2021

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title = "Fractional Operators in p-Adic Variable Exponent Lebesgue Spaces and Application to p-Adic Derivative",

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.",

author = "Chac{\'o}n-Cort{\'e}s, \{Leonardo Fabio\} and Humberto Rafeiro",

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T1 - Fractional Operators in p-Adic Variable Exponent Lebesgue Spaces and Application to p-Adic Derivative

AU - Chacón-Cortés, Leonardo Fabio

AU - Rafeiro, Humberto

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85116645523

U2 - 10.1155/2021/3096701

DO - 10.1155/2021/3096701

M3 - Article

AN - SCOPUS:85116645523

SN - 2314-8896

VL - 2021

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 3096701

ER -

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

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