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Journal of Convex Analysis 13 (2006), No. 1, 177--192
Copyright Heldermann Verlag 2006

On Young Measures Controlling Discontinuous Functions

Agnieszka Kalamajska
Institute of Mathematics, Warsaw University, ul. Banacha 2, 02--097 Warszawa, Poland


We obtain a version of Young's Theorem, where Young-like measures can control discontinuous functions. It determines the weak limit of $\{ f(u^{\nu})\}$ where $f$ is a (possibly) discontinuous scalar function, while $\{u^{\nu}\}$ is a sequence of measurable functions which satisfies tightness condition.

Keywords: Young measures, weak convergence, discontinuous functions.

MSC: 49J10, 49J45

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