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Transactions of the American Mathematical Society

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The Skorokhod representation theorem for Young measures


Author: Hiroshi Tateishi
Journal: Trans. Amer. Math. Soc.
MSC (2010): Primary 28A33, 60B10
DOI: https://doi.org/10.1090/tran/7845
Published electronically: May 13, 2019
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Abstract: In this paper, we extend the well-known Skorokhod representation theorem for Young measures and show that the Skorokhod representation property is transmitted between spaces. The open mapping theorem for Young measures stated by Tateishi in the case of compact metric spaces is also generalized to the case of metrizable Souslin spaces.


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Hiroshi Tateishi
Affiliation: School of Economics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 646-8601, Japan
Email: tateishi@soec.nagoya-u.ac.jp

DOI: https://doi.org/10.1090/tran/7845
Keywords: Young measure, Skorokhod representation, stable topology, open mapping
Received by editor(s): May 18, 2018
Received by editor(s) in revised form: January 23, 2019
Published electronically: May 13, 2019
Article copyright: © Copyright 2019 American Mathematical Society