Mathematics of the USSR-Sbornik
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

Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 5, Pages 709–725
DOI: https://doi.org/10.1070/SM1979v035n05ABEH001620 (Mi sm2691) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Embedding theorems and a characterization of traces in the spaces $H^p(U^n)$, $0<p<\infty$

F. A. Shamoyan
English version PDF (763 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1979v035n05ABEH001620
Abstract: A complete characterization is obtained of the measures $d\mu$ on the unit disk $U$ for which the operator $Df(z)=f(z,z,\dots,z)$ maps $H^p(U^n)$ into $L^p(d\mu)$, $0< p<\infty$. The solution to a problem of W. Rudin is obtained as a corollary.
Bibliography: 16 titles.
Received: 28.12.1977
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1978, Volume 107(149), Number 3(11), Pages 446–462
Bibliographic databases:
UDC: 517.555
MSC: 32A35, 46E35
Language: English
Original paper language: Russian
Citation: F. A. Shamoyan, “Embedding theorems and a characterization of traces in the spaces $H^p(U^n)$, $0<p<\infty$”, Mat. Sb. (N.S.), 107(149):3(11) (1978), 446–462; Math. USSR-Sb., 35:5 (1979), 709–725
Citation in format AMSBIB
\Bibitem{Sha78}
\by F.~A.~Shamoyan
\paper Embedding theorems and a~characterization of traces in the spaces $H^p(U^n)$, $0<p<\infty$
\jour Mat. Sb. (N.S.)
\yr 1978
\vol 107(149)
\issue 3(11)
\pages 446--462
\mathnet{http://mi.mathnet.ru/sm2691}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=515741}
\zmath{https://zbmath.org/?q=an:0426.46022|0398.46030}
\transl
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 5
\pages 709--725
\crossref{https://doi.org/10.1070/SM1979v035n05ABEH001620}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JG48000006}
Linking options:
  • https://www.mathnet.ru/eng/sm2691
  • https://doi.org/10.1070/SM1979v035n05ABEH001620
  • https://www.mathnet.ru/eng/sm/v149/i3/p446
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:469
    Russian version PDF:148
    English version PDF:24
    References:68
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024