A note on the weighted q-Hardy-Littlewood-type maximal operator with   respect to q-Volkenborn integral in the p-adic integer ring
  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. 
Serkan Araci and Mehmet Acikgoz
math.NT