The Skorokhod representation theorem for Young measures
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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.References
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Additional Information
- Hiroshi Tateishi
- Affiliation: School of Economics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 646-8601, Japan
- MR Author ID: 328411
- Email: tateishi@soec.nagoya-u.ac.jp
- Received by editor(s): May 18, 2018
- Received by editor(s) in revised form: January 23, 2019
- Published electronically: May 13, 2019
- © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 6589-6602
- MSC (2010): Primary 28A33, 60B10
- DOI: https://doi.org/10.1090/tran/7845
- MathSciNet review: 4024531