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On one generalization of a DiPerna and Majda theorem
Author(s) -
Kałamajska Agnieszka
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.728
Subject(s) - mathematics , generalization , pure mathematics , set (abstract data type) , mathematical analysis , computer science , programming language
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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