Fubini-type theorems for general measure constructions

K J  Falconer; R D  Mauldin

doi:10.1112/S0025579300015862

Fubini-type theorems for general measure constructions

K J Falconer, R D Mauldin

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Methods are used from descriptive set theory to derive Fubinilike results for the very general Method I and Method 11 (outer) measure constructions. Such constructions, which often lead to non-a-finite measures, include Caratheodory and Hausdorff-type measures. Several questions of independent interest are encountered, such as the measurability of measures of sections of sets, the decomposition of sets into subsets with good sectional properties, and the analyticity of certain operators over sets. Applications are indicated to Hausdorff and generalized Hausdorff measures and to packing dimensions.

Original language	English
Pages (from-to)	251-265
Number of pages	15
Journal	Mathematika
Volume	47
Issue number	1-2
DOIs	https://doi.org/10.1112/S0025579300015862
Publication status	Published - Jun 2000

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Fubini-type theorems for general measure constructions

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