Fubini-type theorems for general measure constructions

K J Falconer, R D Mauldin

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)251-265
Number of pages15
JournalMathematika
Volume47
Issue number1-2
DOIs
Publication statusPublished - Jun 2000

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