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

We will give a new proof of the Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on Zp, 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. KCI Citation Count: 0