Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm2847
Abstract: In this paper, we study the integrability of optimal mappings $T$ taking a probability measure $\mu$ to another measure $g\cdot\mu$. We assume that $T$ minimizes the cost function $c$ and $\mu$ 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 $\exp(-|x|^{\alpha})$.
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
\Bibitem{Kol06}
\by A.~V.~Kolesnikov
\paper Integrability of optimal mappings
\jour Mat. Zametki
\yr 2006
\vol 80
\issue 4
\pages 546--560
\mathnet{http://mi.mathnet.ru/mzm2847}
\crossref{https://doi.org/10.4213/mzm2847}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314363}
\zmath{https://zbmath.org/?q=an:1124.28002}
\elib{https://elibrary.ru/item.asp?id=9293160}
\transl
\jour Math. Notes
\yr 2006
\vol 80
\issue 4
\pages 518--531
\crossref{https://doi.org/10.1007/s11006-006-0170-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000241868700029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750306599}
Linking options:
  • https://www.mathnet.ru/eng/mzm2847
  • https://doi.org/10.4213/mzm2847
  • https://www.mathnet.ru/eng/mzm/v80/i4/p546
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024