Abstract
The purpose of the paper is to give compactness and sequential compactness criteria for a set of vector measures on a complete separable metric space with values in a certain semi-Montel space. Among others it is shown that a set of such vector measures is uniformly bounded and uniformly tight if and only if the corresponding set of real measures is relatively sequentially compact with respect to the weak convergence of measures.
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Kawabe, J. (2003). Prokhorov—LeCam—Varadarajan’s Compactness Criteria for Vector Measures on Metric Spaces. In: Hoffmann-Jørgensen, J., Wellner, J.A., Marcus, M.B. (eds) High Dimensional Probability III. Progress in Probability, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8059-6_2
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DOI: https://doi.org/10.1007/978-3-0348-8059-6_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9423-4
Online ISBN: 978-3-0348-8059-6
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