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http://dx.doi.org/10.5666/KMJ.2012.52.3.299

A New Approach to the Lebesgue-Radon-Nikodym Theorem. with respect to Weighted p-adic Invariant Integral on ℤp  

Rim, Seog-Hoon (Department of Mathematics Education, Kyungpook National University)
Jeong, Joo-Hee (Department of Mathematics Education, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.52, no.3, 2012 , pp. 299-306 More about this Journal
Abstract
We will give a new proof of the Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on $Z_p$, using Mahler expansion of continuous functions, studied by the authors in 2012. In the special case, q = 1, we can derive the same result as in Kim, 2012, Kim et al, 2011.
Keywords
p-adic invariant integral;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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