Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2014, Volume 26, Issue 1, Pages 68–93 (Mi aa1369)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Compactness criteria for spaces of measurable functions

Yu. Brudnyi

Department of Mathematics, Technion, 32000, Haifa, Israel
Full-text PDF (350 kB) Citations (4)
References:
PDF
HTML
Abstract: The paper contains new compactness criteria for a wide class of translation-invariant spaces of measurable functions. The results imply new compactness theorems for the families of Orlicz classes (such as $L_0(\mathbb R^d)$) and Marcinkiewicz–Lorentz spaces (including $L_{pq}$ with $p<1$).
Keywords: compactness, translation invariant $F$- and $B$-lattices, Orlicz classes, Marcinkiewicz–Lorentz quasi-Banach spaces.
Received: 18.07.2012
English version:
St. Petersburg Mathematical Journal, 2015, Volume 26, Issue 1, Pages 49–68
DOI: https://doi.org/10.1090/S1061-0022-2014-01330-1
Bibliographic databases:
Document Type: Article
Language: English
Citation: Yu. Brudnyi, “Compactness criteria for spaces of measurable functions”, Algebra i Analiz, 26:1 (2014), 68–93; St. Petersburg Math. J., 26:1 (2015), 49–68
Citation in format AMSBIB
\Bibitem{Bru14}
\by Yu.~Brudnyi
\paper Compactness criteria for spaces of measurable functions
\jour Algebra i Analiz
\yr 2014
\vol 26
\issue 1
\pages 68--93
\mathnet{http://mi.mathnet.ru/aa1369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234813}
\elib{https://elibrary.ru/item.asp?id=21826345}
\transl
\jour St. Petersburg Math. J.
\yr 2015
\vol 26
\issue 1
\pages 49--68
\crossref{https://doi.org/10.1090/S1061-0022-2014-01330-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000357043200003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84913580919}
Linking options:
  • https://www.mathnet.ru/eng/aa1369
  • https://www.mathnet.ru/eng/aa/v26/i1/p68
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:300
    Full-text PDF :113
    References:52
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024