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arXiv · 1601.00206

On general characterization of Young measures associated with Borel functions

Andrzej Z. Grzybowski·Piotr Puchała
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Abstract

We prove that the Young measure associated with a Borel function f is a probability distribution of the random variable f(U), where U has a uniform distribution on the domain of f. As an auxiliary result, the fact that Young measures associated with simple functions are weak* dense in the set of Young measures associated with measurable functions is proved. Finally some examples of specific applications of the main result are presented with comments.

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Andrzej Z. Grzybowski, Piotr Puchała. 2017-09-23. On general characterization of Young measures associated with Borel functions. https://arxiv.org/abs/1601.00206

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