Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 422–432
DOI: https://doi.org/10.17377/smzh.2018.59.216 (Mi smj2983) 		 
The lower semicontinuity of distortion coefficients of the homeomorphisms inducing bounded composition operators of Sobolev–Orlicz spaces

A. V. Menovshchikovabc

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Peoples' Friendship University of Russia, Moscow, Russia
Full-text PDF (309 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2018.59.216
Abstract: We determine the conditions under which the locally uniform limit of mappings generating bounded composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate the distortion coefficient of the limit mapping.
Keywords: Sobolev–Orlicz space, distortion, codistortion, biting convergence, composition operator, $N$-function.
Funding agency Grant number
Russian Science Foundation 16-41-02004
The author was partially supported by the Russian Science Foundation (Grant 16-41-02004).
Received: 28.06.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 332–340
DOI: https://doi.org/10.1134/S0037446618020167
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.54
Language: Russian
Citation: A. V. Menovshchikov, “The lower semicontinuity of distortion coefficients of the homeomorphisms inducing bounded composition operators of Sobolev–Orlicz spaces”, Sibirsk. Mat. Zh., 59:2 (2018), 422–432; Siberian Math. J., 59:2 (2018), 332–340
Citation in format AMSBIB
\Bibitem{Men18}
\by A.~V.~Menovshchikov
\paper The lower semicontinuity of distortion coefficients of the homeomorphisms inducing bounded composition operators of Sobolev--Orlicz spaces
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 2
\pages 422--432
\mathnet{http://mi.mathnet.ru/smj2983}
\crossref{https://doi.org/10.17377/smzh.2018.59.216}
\elib{https://elibrary.ru/item.asp?id=32817973}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 2
\pages 332--340
\crossref{https://doi.org/10.1134/S0037446618020167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000430858600016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85046647538}
Linking options:
  • https://www.mathnet.ru/eng/smj2983
  • https://www.mathnet.ru/eng/smj/v59/i2/p422
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:174
    Full-text PDF :36
    References:33
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024