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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 1, Pages 1–17
DOI: https://doi.org/10.1070/IM1985v025n01ABEH001262 (Mi im1485) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On some metric properties of the boundary values of functions that are analytic in a half-plane

N. V. Govorov, S. P. Grushevskii
English version PDF (583 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1985v025n01ABEH001262
Abstract: A generalization is given of Kolmogorov's inequality for the Hilbert transform. The inequalities that are obtained are shown to be exact, and all extremal functions are determined.
Bibliography: 9 titles.
Received: 15.01.1980
Bibliographic databases:
UDC: 517.54
MSC: Primary 44A15, 42A50; Secondary 30C15
Language: English
Original paper language: Russian
Citation: N. V. Govorov, S. P. Grushevskii, “On some metric properties of the boundary values of functions that are analytic in a half-plane”, Math. USSR-Izv., 25:1 (1985), 1–17
Citation in format AMSBIB
\Bibitem{GovGru84}
\by N.~V.~Govorov, S.~P.~Grushevskii
\paper On~some metric properties of the boundary values of functions that are analytic in a~half-plane
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 1
\pages 1--17
\mathnet{http://mi.mathnet.ru/eng/im1485}
\crossref{https://doi.org/10.1070/IM1985v025n01ABEH001262}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=755952}
\zmath{https://zbmath.org/?q=an:0579.44003}
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  • https://www.mathnet.ru/eng/im/v48/i4/p659
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:318
    Russian version PDF:112
    English version PDF:41
    References:76
    First page:1
     
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