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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 10 scientific papers (total in 10 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 (10) Russian version article
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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
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 $H^p(U^n)$, $0<p<\infty$”, 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 Math. USSR-Sb.
\yr 1979
\vol 35
\issue 5
\pages 709--725
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\crossref{https://doi.org/10.1070/SM1979v035n05ABEH001620}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=515741}
\zmath{https://zbmath.org/?q=an:0426.46022|0398.46030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JG48000006}
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  • https://doi.org/10.1070/SM1979v035n05ABEH001620
  • https://www.mathnet.ru/eng/sm/v149/i3/p446
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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