A Version of Lebesgue Decomposition Theorem for Non-additive Measure

In this paper, Lebesgue decomposition type theorems for non-additive measure are shown under the conditions of null-additivity, converse null-additivity, weak null-additivity and σ-null-additivity, etc.. In our discussion, the monotone continuity of set function is not required.

• Type: Conference
• Year: 2007
• Where: MDAI
• Authors: Jun Li, Masami Yasuda, Jianzeng Li
• Keywords: Lebesgue Decomposition Type, MDAI 2007, Monotone Continuity, Non-additive Measure