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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 1, Pages 89–114
DOI: https://doi.org/10.1070/IM1985v025n01ABEH001271 (Mi im1490) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Necessary and sufficient conditions for the existence of boundary values of the modulus of a function that is bounded and analytic in a half-plane

A. P. Mul
English version PDF (883 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1985v025n01ABEH001271
Abstract: Necessary and sufficient conditions are obtained for the existence of a nontangential limit and of a limit along the normal at a particular point of the boundary for the modulus of a function that is bounded and analytic in a half-plane; the conditions consist in the existence at this point of the derivative and of the symmetric derivative, respectively, of the mass distribution function.
Bibliography: 14 titles
Received: 28.07.1980
Bibliographic databases:
UDC: 517.5
MSC: Primary 30D40; Secondary 30D15, 30D50, 30D55
Language: English
Original paper language: Russian
Citation: A. P. Mul, “Necessary and sufficient conditions for the existence of boundary values of the modulus of a function that is bounded and analytic in a half-plane”, Math. USSR-Izv., 25:1 (1985), 89–114
Citation in format AMSBIB
\Bibitem{Mul84}
\by A.~P.~Mul
\paper Necessary and sufficient conditions for the existence of boundary values of the modulus of a~function that is bounded and analytic in a~half-plane
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 1
\pages 89--114
\mathnet{http://mi.mathnet.ru//eng/im1490}
\crossref{https://doi.org/10.1070/IM1985v025n01ABEH001271}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=755957}
\zmath{https://zbmath.org/?q=an:0587.30032}
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    • 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:1090
    Russian version PDF:159
    English version PDF:19
    References:69
    First page:1
     
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