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On one generalization of a DiPerna and Majda theorem

✍ Scribed by Agnieszka Kałamajska

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
186 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The weak limits of sequences {f(u^ν^)}~ν∈ℕ~ where u^ν^'s are vector‐valued µ‐measurable functions defined on a compact set Ω and f is (possibly) discontinuous are investigated. As shown by the author (J. Conv. Anal. (to appear)), they are described in terms of integral formulae involving parametrized measures independent of f, similarly as in the classical theorem by Young and its generalization due to DiPerna and Majda. In the present paper we describe the supports of the involved parametrized measures. Copyright © 2006 John Wiley & Sons, Ltd.

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