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, 2009, Volume 50, Number 6, Pages 1413–1432 (Mi smj2060)  
This article is cited in 3 scientific papers (total in 3 papers)

A weak invertibility criterion in the weighted $L^p$-spaces of holomorphic functions in the ball

F. A. Shamoyan

Bryansk State University, Bryansk
Full-text PDF (383 kB) Citations (3)
References:
PDF
HTML
Abstract: We obtain a necessary and sufficient condition on a weight function for every nowhere vanishing holomorphic function in the unit ball in the weighted $L^p$-space to be weakly invertible in the corresponding $L^q$-space for all $q<p$.
Keywords: weak invertibility, cyclic elements, holomorphic function, Bergman space, shift operator, weighted polynomial approximation.
Received: 27.05.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 6, Pages 1115–1132
DOI: https://doi.org/10.1007/s11202-009-0123-3
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: F. A. Shamoyan, “A weak invertibility criterion in the weighted $L^p$-spaces of holomorphic functions in the ball”, Sibirsk. Mat. Zh., 50:6 (2009), 1413–1432; Siberian Math. J., 50:6 (2009), 1115–1132
Citation in format AMSBIB
\Bibitem{Sha09}
\by F.~A.~Shamoyan
\paper A weak invertibility criterion in the weighted $L^p$-spaces of holomorphic functions in the ball
\jour Sibirsk. Mat. Zh.
\yr 2009
\vol 50
\issue 6
\pages 1413--1432
\mathnet{http://mi.mathnet.ru/smj2060}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2603881}
\elib{https://elibrary.ru/item.asp?id=13072737}
\transl
\jour Siberian Math. J.
\yr 2009
\vol 50
\issue 6
\pages 1115--1132
\crossref{https://doi.org/10.1007/s11202-009-0123-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000273176200020}
\elib{https://elibrary.ru/item.asp?id=15301837}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-74549129428}
Linking options:
  • https://www.mathnet.ru/eng/smj2060
  • https://www.mathnet.ru/eng/smj/v50/i6/p1413
    • 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
    Statistics & downloads:
    Abstract page:278
    Full-text PDF :105
    References:58
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024