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Functions and measures on products spaces

Part of: Classical measure theory

Published online by Cambridge University Press:  26 February 2010

A. G. Babiker  and
J. D. Knowles
A. G. Babiker
Affiliation:
School of Mathematical Sciences, University of Khartoum, P.O. Box 321, Khartoum, Sudan.
J. D. Knowles
Affiliation:
Westfield College, London.
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Extract

The results we present were motivated by the product measure problem for Baire measures. For two completely regular Hausdorff spaces X and Y, with totally finite a- additive measures μ and ν defined on the Baire σ- algebras ℬ0(X) and ℬ0(Y) respectively, under what conditions may we define a measure λ on the Baire σ-algebra ℬ0(X × Y), extending the product measure μ ⊗ ν defined on the product σ-algebra ℬ0(X) × ℬ0(Y) and satisfying a Fubini theorem?

MSC classification

Secondary: 28A35: Measures and integrals in product spaces
Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985 , pp. 60 - 67
Copyright
Copyright © University College London 1985

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