Abstract and Applied Analysis (Jan 2012)
A Note on the Lebesgue-Radon-Nikodym Theorem with respect to Weighted 𝑝-adic Invariant Integral on ℤ𝑝
Abstract
We will give the Lebesgue-Radon-Nikodym theorem with respect to weighted 𝑝-adic 𝑞-measure on ℤ𝑝. In special case, 𝑞=1, we can derive the same result as Kim, 2012; Kim et al., 2011.