Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NOTE ON THE WEIGHTED q-HARDY-LITTLEWOOD-TYPE MAXIMAL OPERATOR WITH RESPECT TO q-VOLKENBORN INTEGRAL IN THE p-ADIC INTEGER RING

  • Araci, Serkan (University of Gaziantep, Faculty of Science and Arts, Department of Mathematics) ;
  • Acikgoz, Mehmet (University of Gaziantep, Faculty of Science and Arts, Department of Mathematics)
  • Received : 2012.03.16
  • Accepted : 2012.12.07
  • Published : 2013.05.30
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Abstract

The essential aim of this paper is to define weighted $q$-Hardylittlewood-type maximal operator by means of $p$-adic $q$-invariant distribution on $\mathbb{Z}_p$. Moreover, we give some interesting properties concerning this type maximal operator.

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References

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