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

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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 languageEnglish
Article number3096701
JournalJournal of Function Spaces
Volume2021
DOIs
StatePublished - 2021

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