Fatou's lemma and Lebesgue's convergence theorem for measures.

Hernández-Lerma, Onésimo; Lasserre, Jean B.

Displaying similar documents to “Fatou's lemma and Lebesgue's convergence theorem for measures.”

On the setwise convergence of sequences of measures.

Lasserre, Jean B. (1997)

Journal of Applied Mathematics and Stochastic Analysis

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Convergence of Banach lattice valued stochastic processes without the Radon-Nikodym property.

Marraffa, V. (2005)

Acta Mathematica Universitatis Comenianae. New Series

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Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces

Riccarda Rossi, Giuseppe Savaré (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Compactness in the space $L^{p} (0, T; B)$ , $B$ being a separable Banach space, has been deeply investigated by J.P. Aubin (1963), J.L. Lions (1961, 1969), J. Simon (1987), and, more recently, by J.M. Rakotoson and R. Temam (2001), who have provided various criteria for relative compactness, which turn out to be crucial tools in the existence proof of solutions to several abstract time dependent problems related to evolutionary PDEs. In the present paper, the problem is examined in view of Young measure...

Convergence theorems for Banach space valued integrable multifunctions.

Papageorgiou, Nikolaos S. (1987)

International Journal of Mathematics and Mathematical Sciences

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Compactness and convergence of set-valued measures

Kenny Koffi Siggini (2009)

Colloquium Mathematicae

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We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.