Vol. 2, Issue 5 (2017)
Lebesgue decomposition theorem and its extension to signed measures
Author(s): Baljodh Singh
Abstract: By Lebesgue Decomposition Theorem for any finite measurable space (X,, we prove that if be any other finite measure on then there exist a unique pair of measures ( ) such that = and and . The result can be extended to signed measures also.