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Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 2, Pages 237–243
DOI: https://doi.org/10.1070/SM1972v016n02ABEH001423 (Mi sm3046) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a theorem of Marcinkiewicz type for $H$-valued functions. A continual form of the Paley–Littlewood theorem

P. I. Lizorkin
English version PDF (369 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1972v016n02ABEH001423
Abstract: In this report there are proved theorems on the boundedness of the convolution operator acting from the space $L_p(H')$ ($p$-summable functions on the line with values in the Hilbert space $(H')$ into the space $L_p(H'')$. There is derived a new version of the Paley–Littlewood Theorem.
Bibliography: 3 items.
Received: 26.11.1970
Bibliographic databases:
UDC: 517.5
MSC: Primary 26A45, 46C10; Secondary 42A68, 26A42
Language: English
Original paper language: Russian
Citation: P. I. Lizorkin, “On a theorem of Marcinkiewicz type for $H$-valued functions. A continual form of the Paley–Littlewood theorem”, Math. USSR-Sb., 16:2 (1972), 237–243
Citation in format AMSBIB
\Bibitem{Liz72}
\by P.~I.~Lizorkin
\paper On a theorem of Marcinkiewicz type for $H$-valued functions. A~continual form of the Paley--Littlewood theorem
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 2
\pages 237--243
\mathnet{http://mi.mathnet.ru//eng/sm3046}
\crossref{https://doi.org/10.1070/SM1972v016n02ABEH001423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=380262}
\zmath{https://zbmath.org/?q=an:0233.46043|0248.46027}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:398
    Russian version PDF:156
    English version PDF:12
    References:66
     
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