On the q-Hardy-Littlewood-type maximal operator with weight related to   fermionic p-adic q-integral on Zp
  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. 
Serkan Araci and Mehmet Acikgoz
math.NT