Signed Measure and Complex Measure
摘要
This chapter introduces signed and complex measures, focusing on integration with respect to these measures. The Radon-Nikodym theorems are proved, along with the study of Radon-Nikodym derivatives and their applications. Important topics include the Hahn and Jordan decompositions, absolute continuity of measures, and pointwise differentiation of measures. Integration of complex-valued functions and related concepts are also explored.