Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE q-EXTENSION OF THE HARDY-LITTLEWOOD-TYPE MAXIMAL OPERATOR RELATED TO q-VOLKENBORN INTEGRAL IN THE p-ADIC INTEGER RING

  • Jang, Lee-Chae (Department of Mathematics and Computer Science KonKuk University)
  • Received : 2009.12.04
  • Accepted : 2010.04.23
  • Published : 2010.06.30
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Abstract

In this paper, we define the q-extension of the Hardy-Littlewood-type maximal operator related to q-Volkenborn integral. By the meaning of the extension of q-Volkenborn integral, we obtain the boundedness of the q-extension of the Hardy-Littlewood-type maximal operator in the p-adic integer ring.

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References

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