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Matematicheskie Zametki, 2006, Volume 80, Issue 4, Pages 546–560
DOI: https://doi.org/10.4213/mzm2847 (Mi mzm2847) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Integrability of optimal mappings

A. V. Kolesnikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (514 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm2847
Abstract: In this paper, we study the integrability of optimal mappings T taking a probability measure μ to another measure g⋅μ. We assume that T minimizes the cost function c and μ satisfies some special inequalities related to c (the infimum-convolution inequality or the logarithmic c-Sobolev inequality). The results obtained are applied to the analysis of measures of the form exp⁡(−|x|α).
Received: 10.10.2005
Revised: 03.06.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 4, Pages 518–531
DOI: https://doi.org/10.1007/s11006-006-0170-z
Bibliographic databases:
UDC: 517.988.38
Language: Russian
Citation: A. V. Kolesnikov, “Integrability of optimal mappings”, Mat. Zametki, 80:4 (2006), 546–560; Math. Notes, 80:4 (2006), 518–531
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. Kolesnikov A.V., “Modified Log-Sobolev Inequalities and Isoperimetry”, Rend. Lincei-Mat. Appl., 18:2 (2007), 179–208  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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