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math.FA2016★ 4 cited
A simple characterization of homogeneous Young measures and weak convergence of their densities
Piotr Puchała
We formulate a simple characterization of homogeneous Young measures associated with measurable functions. It is based on the notion of the quasi-Young measure introduced in the pr…
math.FA2016
On general characterization of Young measures associated with Borel functions
Andrzej Z. Grzybowski, Piotr Puchała
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.…