Correction to ‘‘Measures on product spaces”
نویسندگان
چکیده
منابع مشابه
Measures on the Product of Compact Spaces
If K is an uncountable metrizable compact space, we prove a “factorization” result for a wide variety of vector valued Borel measures μ defined onK. 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 A1 × · · · × An of Borel sets of K equals the measure μ′ of the intersection A1 ∩ · · · ∩An, where the Ai’s are c...
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We study the problem of distinguishing between two distributions on a metric space; i.e., given metric measure spaces (X, d, μ1) and (X, d, μ2), we are interested in the problem of determining from finite data whether or not μ1 is μ2. The key is to use pairwise distances between observations and, employing a reconstruction theorem of Gromov, we can perform such a test using a two sample Kolmogo...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولInduced Measures on Wallman Spaces
Let X be an abstract set and .t; a lattice of subsets ofX. To each lattice-regular measure we associate two induced measures and on suitable lattices of the Wallman space Is(L) and another measure IX’ on the space I,(L). We will investigate the reflection of smoothness properties of IX onto t, and Ix’ and try to set some new criterion for repleteness and measure repleteness.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1969
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1969-0240272-7