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Villanueva, Ignacio
(2002)
*Measures on the product of compact spaces.*
Monatshefte für Mathematik, 137
(2).
pp. 167-172.
ISSN 1436-5081

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Official URL: http://www.springerlink.com/content/1436-5081/

## Abstract

If K is an uncountable metrizable compact space, we prove a ‘factorization’ result for a wide variety of vector valued Borel measures μ defined on Kn. This result essentially says that for every such measure μ there exists a measure μ0 defined on K such that the measure μ of a product A1 ×• • •×An of Borel sets of K equals the measure μ0 of the intersection A01 \• • •\A0n, where the A0j’s are certain transforms of the Ai’s.

Item Type: | Article |
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Uncontrolled Keywords: | Uncountable metrizable compact space, Vector valued measures |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 11583 |

Deposited On: | 19 Nov 2010 12:05 |

Last Modified: | 06 Feb 2014 09:07 |

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