A note on the Analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML"

Abstract

Abstract We give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to a weighted p-adic q-measure on Z p . In a special case, when the weight q x is 1, we can derive the same result as Kim et al. (Abstr. Appl. Anal. 2011:637634, 2011). And if q = 1 , we have the same result as Kim (Russ. J. Math. Phys. 19:193-196, 2012). MSC:11B68, 11S80.