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

• Journal title : Kyungpook mathematical journal
• Volume 52, Issue 3,  2012, pp.299-306
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2012.52.3.299
Title & Authors
A New Approach to the Lebesgue-Radon-Nikodym Theorem. with respect to Weighted p-adic Invariant Integral on ℤp
Rim, Seog-Hoon; Jeong, Joo-Hee;

Abstract
We will give a new proof of the Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on $\small{Z_p}$, 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
Language
English
Cited by
References
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