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N. Koblitz, p-adic Numbers, p-adic Analysis and Zeta Functions, Springer-Verlag, New York Inc, 1977.

has been cited by the following article:

Article

q-Hardy-Littlewood-Type Maximal Operator with Weight Related to Fermionic p-Adic q-Integral on Zp

1Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey

2Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, Gaziantep, Turkey

3Hatay, Turkey


Turkish Journal of Analysis and Number Theory. 2013, Vol. 1 No. 1, 4-8
DOI: 10.12691/tjant-1-1-2
Copyright © 2013 Science and Education Publishing

Cite this paper:
Erdoğan Şen, Mehmet Acikgoz, Serkan Araci. q-Hardy-Littlewood-Type Maximal Operator with Weight Related to Fermionic p-Adic q-Integral on Zp. Turkish Journal of Analysis and Number Theory. 2013; 1(1):4-8. doi: 10.12691/tjant-1-1-2.

Correspondence to: Erdoğan Şen, Department of Mathematics, Faculty of Science and Letters, Namik Kemal University, Tekirdağ, Turkey. Email: erdogan.math@gmail.com

Abstract

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 Zp. Finally, we derive some interesting properties involving this-type maximal operator.

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