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, 2012, Volume 53, Number 3, Pages 691–711 (Mi smj2356)  
This article is cited in 1 scientific paper (total in 1 paper)

A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk

F. A. Shamoyan

Bryansk State University, Bryansk
Full-text PDF (382 kB) Citations (1)
References:
PDF
HTML
Abstract: We obtain a full description of the summable functions $h$ on the torus which admit pluriharmonic continuation to the unit polydisk for which the Toeplitz operator with symbol $h$ is a bounded operator in the weighted Sobolev spaces of holomorphic functions.
Keywords: unit torus, holomorphic function, Sobolev space, Toeplitz operator, harmonic function.
Received: 28.12.2010
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 3, Pages 554–572
DOI: https://doi.org/10.1134/S003744661202036X
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: F. A. Shamoyan, “A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk”, Sibirsk. Mat. Zh., 53:3 (2012), 691–711; Siberian Math. J., 53:3 (2012), 554–572
Citation in format AMSBIB
\Bibitem{Sha12}
\by F.~A.~Shamoyan
\paper A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk
\jour Sibirsk. Mat. Zh.
\yr 2012
\vol 53
\issue 3
\pages 691--711
\mathnet{http://mi.mathnet.ru/smj2356}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2978585}
\transl
\jour Siberian Math. J.
\yr 2012
\vol 53
\issue 3
\pages 554--572
\crossref{https://doi.org/10.1134/S003744661202036X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000307396200017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863215024}
Linking options:
  • https://www.mathnet.ru/eng/smj2356
  • https://www.mathnet.ru/eng/smj/v53/i3/p691
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025