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arxiv: 1202.1969 · v2 · pith:U66JXUNWnew · submitted 2012-02-09 · 🧮 math.NT

A note on the weighted q-Hardy-Littlewood-type maximal operator with respect to q-Volkenborn integral in the p-adic integer ring

classification 🧮 math.NT
keywords maximaloperatorp-adicq-hardy-littlewood-typeweightedconcerningdefinedistribution
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The essential aim of this paper is to define weighted q-Hardy-littlewood-type maximal operator by means of p-adic q-invariant distribution on Zp. Moreover, we give some interesting properties concerning this type maximal operator.

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