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학술저널

ON THE q{EXTENSION OF THE HARDY{LITTLEWOOD{TYPE MAXIMAL OPERATOR RELATED TO q{VOLKENBORN INTEGRAL IN THE p{ADIC INTEGER RING

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In this paper, we de¯ne 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-adicinteger ring.

1. Introduction and preliminaries

2. The q-extension of the Hardy-Littlewood-type maximal opera-tor

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