A survey on tent spaces and their application to weighted inequalities
Johnson, Raymond
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Johnson, Raymond
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Hüngerbuhler, Norbert (1997)
The New York Journal of Mathematics [electronic only]
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Martin Kružík (1998)
Commentationes Mathematicae Universitatis Carolinae
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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.
Boca, F. P., Gologan, R. N., Zaharescu, A. (2003)
The New York Journal of Mathematics [electronic only]
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Gisella Croce, Catherine Lacour, Gérard Michaille (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order concentrated on an -neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.