Measures on the Product of Compact Spaces |
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Authors: | Ignacio Villanueva |
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Affiliation: | (1) Universidad Complutense de Madrid, Spain, ES |
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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 K n . This result essentially says that for every such measure μ there exists a measure μ′ defined on K such that the measure μ of a product A 1 × ⋯ × A n of Borel sets of K equals the measure μ′ of the intersection A 1′∩⋯∩A n ′, where the A i ′’s are certain transforms of the A i ’s. Partially supported by DGICYT grant PB97-0240. Received August 23, 2001; in revised form March 21, 2002 |
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Keywords: | 2000 Mathematics Subject Classification: 28A45 46G10 |
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