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, 2010, Volume 51, Number 2, Pages 316–329 (Mi smj2085)  
This article is cited in 3 scientific papers (total in 3 papers)

Interpolation of nonlinear operators in weighted $L_p$-spaces

V. M. Kaplitskiĭ

South Mathematical Institute of VSC RAS, Vladikavkaz
Full-text PDF (357 kB) Citations (3)
References:
PDF
HTML
Abstract: We show that Peetre's classical interpolation theorem in weighted $L_p$-spaces is carried over to some classes of nonlinear operators containing in particular the Lipschitz operators and operators close to them in the properties satisfying less restrictive conditions than Lipschitz in each of the spaces of a Banach pair.
Keywords: nonlinear operator, $K$-functional, interpolation.
Received: 11.12.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 255–266
DOI: https://doi.org/10.1007/s11202-010-0025-4
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: V. M. Kaplitskiǐ, “Interpolation of nonlinear operators in weighted $L_p$-spaces”, Sibirsk. Mat. Zh., 51:2 (2010), 316–329; Siberian Math. J., 51:2 (2010), 255–266
Citation in format AMSBIB
\Bibitem{Kap10}
\by V.~M.~Kaplitski{\v\i}
\paper Interpolation of nonlinear operators in weighted $L_p$-spaces
\jour Sibirsk. Mat. Zh.
\yr 2010
\vol 51
\issue 2
\pages 316--329
\mathnet{http://mi.mathnet.ru/smj2085}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668099}
\transl
\jour Siberian Math. J.
\yr 2010
\vol 51
\issue 2
\pages 255--266
\crossref{https://doi.org/10.1007/s11202-010-0025-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000276746000006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952023984}
Linking options:
  • https://www.mathnet.ru/eng/smj2085
  • https://www.mathnet.ru/eng/smj/v51/i2/p316
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024