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arXiv:1807.07931 [math.CA]AbstractReferencesReviewsResources

Equivalence of Uniform and Asymptotic Uniform Integrability Conditions and its Applications

Eugene A. Feinberg, Pavlo O. Kasyanov, Yan Liang

Published 2018-07-20Version 1

This note establishes the equivalence of uniform and asymptotic uniform integrability conditions for a sequence of functions with respect to a sequence of finite measures. This result is illustrated with new formulations of the Dunford-Pettis theorem, the fundamental theorem for Young measures, and uniform Lebesgue's convergence theorem.

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