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

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

2012-02-09

arxiv.org/abs/1202.1969v2

Mathematics

Number Theory

7 pages

Scientific paper

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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