Abstract

In this paper, we obtain some inequalities about commutators of a rough p-adic fractional Hardy-type operator on Herz-type spaces when the symbol functions belong to two different function spaces.

Highlights

  • During the last several decades, the p-adic analysis has cemented its role in the field of mathematical physics

  • Motivated by papers cited above and results of Fu et al in [8], we define the special kind of p-adic rough fractional Hardy operator Hp,α and its commutators as follows

  • The current section deals with the boundedness for the commutators of p-adic rough fractional Hardy operator on homogeneous p-adic Herz-type spaces by considering the symbol function from Lipschitz space

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Summary

Introduction

During the last several decades, the p-adic analysis has cemented its role in the field of mathematical physics (see, for example, [1, 22, 32, 33]). Fu et al in [9], fixed the optimal bounds of p-adic Hardy operator on Lq(Qnp). On the central Morrey space the p-adic Hardy-type operators and their commutators were discussed in [37]. There is still zero attention towards the rough Hardy operators on the p-adic linear spaces.

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