Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2016, Volume 207, Issue 1, Pages 85–112
DOI: https://doi.org/10.1070/SM8441 (Mi sm8441) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Extrapolation of operators acting into quasi-Banach spaces

K. V. Lykovabc

a Samara State University
b S. P. Korolyov Samara State Aerospace University
c Image Processing Systems Institute, Samara
English version PDF (588 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8441
Abstract: Linear and sublinear operators acting from the scale of $L_p$ spaces to a certain fixed quasinormed space are considered. It is shown how the extrapolation construction proposed by Jawerth and Milman at the end of 1980s can be used to extend a bounded action of an operator from the $L_p$ scale to wider spaces. Theorems are proved which generalize Yano's extrapolation theorem to the case of a quasinormed target space. More precise results are obtained under additional conditions on the quasinorm.
Bibliography: 35 titles.
Keywords: extrapolation of operators, Yano's theorem, symmetric space, Lorentz space, quasi-Banach space.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31452-мол-а
Ministry of Education and Science of the Russian Federation 02.В49.21.0005
204
This research was supported by the Russian Foundation for Basic Research (grant no. 14-01-31452-mol-a) and the Ministry of Education and Science of the Russian Federation (grant nos. 02.B49.21.0005, GZ204).
Received: 06.11.2014 and 21.08.2015
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 1, Pages 93–122
DOI: https://doi.org/10.4213/sm8441
Bibliographic databases:
Document Type: Article
UDC: 517.982+517.983+517.988
MSC: Primary 46E30; Secondary 46B70, 46M35
Language: English
Original paper language: Russian
Citation: K. V. Lykov, “Extrapolation of operators acting into quasi-Banach spaces”, Mat. Sb., 207:1 (2016), 93–122; Sb. Math., 207:1 (2016), 85–112
Citation in format AMSBIB
\Bibitem{Lyk16}
\by K.~V.~Lykov
\paper Extrapolation of operators acting into quasi-Banach spaces
\jour Mat. Sb.
\yr 2016
\vol 207
\issue 1
\pages 93--122
\mathnet{http://mi.mathnet.ru/sm8441}
\crossref{https://doi.org/10.4213/sm8441}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3462727}
\zmath{https://zbmath.org/?q=an:06594435}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016SbMat.207...85L}
\elib{https://elibrary.ru/item.asp?id=25707803}
\transl
\jour Sb. Math.
\yr 2016
\vol 207
\issue 1
\pages 85--112
\crossref{https://doi.org/10.1070/SM8441}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000371797300004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84963511187}
Linking options:
  • https://www.mathnet.ru/eng/sm8441
  • https://doi.org/10.1070/SM8441
  • https://www.mathnet.ru/eng/sm/v207/i1/p93
    • 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
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:460
    Russian version PDF:144
    English version PDF:10
    References:67
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024