On the q-Hardy-Littlewood-type maximal operator with weight related to fermionic p-adic q-integral on Zp

TL;DR

This paper introduces a weighted q-Hardy-Littlewood maximal operator based on fermionic p-adic q-integrals on Zp, exploring its properties and potential applications in p-adic analysis.

Contribution

It defines a new class of maximal operators in p-adic analysis using fermionic q-integrals, extending classical harmonic analysis tools to the p-adic setting.

Findings

Defined weighted q-Hardy-Littlewood-type maximal operator

Derived properties of the new maximal operator

Extended harmonic analysis concepts to p-adic context

Abstract

The fundamental aim of this paper is to define weighted q-Hardy-littlewood-type maximal operator by means of fermionic p-adic q-invariant distribution on Zp . Also, we derive some interesting properties concerning this type maximal operator.