Science and Education Publishing Turkish Journal of Analysis and Number Theory ISSN Pending 1 1 2013 09 23 q-Hardy-Littlewood-Type Maximal Operator with Weight Related to Fermionic p-Adic q-Integral on Z_p 4 8 EN Erdoğan Şen Mehmet Acikgoz Serkan Araci Atatürk Street, 31290 Hatay, TURKEY TJANT2013112 10.12691/tjant-1-1-2 2013 09 14 2013 09 21 2013 09 23 The q-extension of Hardy-littlewood-type maximal operator in accordance with q Volkenborn integral in the p-adic integer ring was recently studied . A generalization of Jang's results was given by Araci and Acikgoz . By the same motivation of their papers, we aim to give the definition of the weighted q-Hardy-littlewood-type maximal operator by means of fermionic p-adic q-invariant distribution on Z_p. Finally, we derive some interesting properties involving this-type maximal operator.