Geodesic
DiPerna-Majda measures and uniform integrability
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 511-523 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {Kru\v{z}{\'\i}k, Martin},
     title = {DiPerna-Majda measures and uniform integrability},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {511--523},
     year = {1998},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a7/}
}
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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/