Absolute continuity, singularity and product measures

Roy A. Johnson

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-15

Abstract:

Conditions are given under which a product of two semifinite measures is absolutely continuous or weakly singular with respect to another product of two semifinite measures. A Lebesgue type decomposition theorem is proved for certain product measures so that the resulting measures are themselves product measures.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:584195

DOI: 10.1155/S0161171282000738

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