DiPerna-Majda measures and uniform integrability

Martin Kružík

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 3, page 511-523
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Kružík, Martin. "DiPerna-Majda measures and uniform integrability." Commentationes Mathematicae Universitatis Carolinae 39.3 (1998): 511-523. <http://eudml.org/doc/248272>.

@article{Kružík1998,
abstract = {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.},
author = {Kružík, Martin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {bounded sequences; DiPerna-Majda measures; Fatou's lemma; relative sequential weak compactness; uniform integrability; Young measures; bounded sequences in ; DiPerna-Majda measures; Fatou's lemma; relative sequential weak compactness; uniform integrability; Young measures; Rosenthal modulus},
language = {eng},
number = {3},
pages = {511-523},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {DiPerna-Majda measures and uniform integrability},
url = {http://eudml.org/doc/248272},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Kružík, Martin
TI - DiPerna-Majda measures and uniform integrability
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 3
SP - 511
EP - 523
AB - 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.
LA - eng
KW - bounded sequences; DiPerna-Majda measures; Fatou's lemma; relative sequential weak compactness; uniform integrability; Young measures; bounded sequences in ; DiPerna-Majda measures; Fatou's lemma; relative sequential weak compactness; uniform integrability; Young measures; Rosenthal modulus
UR - http://eudml.org/doc/248272
ER -

References

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