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On one condition of weak compactness of a family of measure-valued processes

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Ukrainian Mathematical Journal Aims and scope

Abstract

We present a criterion for the weak compactness of continuous measure-valued processes in terms of the weak compactness of families of certain space integrals of these processes.

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REFERENCES

  1. A. V. Skorokhod (1983) Stochastic Equations for Complex Systems Nauka Moscow

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  2. R. M. Dudley (1989) Real Analysis and Probability Wadsworth and Brooks Belmont

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. A. Dorogovtsev

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  1. A. A. Dorogovtsev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 7, pp. 885–891, July, 2004.

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Dorogovtsev, A.A. On one condition of weak compactness of a family of measure-valued processes. Ukr Math J 56, 1054–1062 (2004). https://doi.org/10.1007/s11253-005-0072-3

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  • DOI: https://doi.org/10.1007/s11253-005-0072-3

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