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Keywords:
bounded sequences; DiPerna-Majda measures; Fatou's lemma; relative sequential weak compactness; uniform integrability; Young measures
bounded sequences; DiPerna-Majda measures; Fatou's lemma; relative sequential weak compactness; uniform integrability; Young measures
Summary:
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.
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