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http://dx.doi.org/10.14403/jcms.2010.23.2.207

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)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 207-213 More about this Journal
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.
Keywords
p-adic q-integrals; Bernoulli polynomials; p-adic q-transfer operator;
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