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Villanueva Díez, Ignacio 2023-06-20T16:46:27Z 2023-06-20T16:46:27Z 2002 Villanueva Díez, I. «Measures on the Product of Compact Spaces». Monatshefte f�r Mathematik, vol. 137, n.o 2, septiembre de 2002, pp. 167-72. DOI.org (Crossref), https://doi.org/10.1007/s00605-002-0500-5. 1436-5081 10.1007/s00605-002-0500-5 https://hdl.handle.net/20.500.14352/56942 https//doi.org/10.1007/s00605-002-0500-5 http://www.springerlink.com/content/1436-5081/ 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 ו • •×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. eng open access Measures on the product of compact spaces journal article