Geodesic
DiPerna-Majda measures and uniform integrability
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 511-523.

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The purpose of this note is to discuss the relationship among Rosenthal's modulus of uniform integrability, Young measures and DiPerna-Majda measures. In particular, we give an explicit characterization of this modulus and state a criterion of the uniform integrability in terms of these measures. Further, we show applications to Fatou's lemma.
Classification : 28A05, 28A20, 28A33, 40A30
Keywords: bounded sequences; DiPerna-Majda measures; Fatou's lemma; relative sequential weak compactness; uniform integrability; Young measures 
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Kružík, Martin. DiPerna-Majda measures and uniform integrability. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 511-523. http://geodesic.mathdoc.fr/item/CMUC_1998__39_3_a7/