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Izv. Akad. Nauk SSSR Ser. Mat., 1984, Volume 48, Issue 4, Pages 750–778 (Mi izv1490)  

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


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

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English version:
Mathematics of the USSR-Izvestiya, 1985, 25:1, 89–114

Bibliographic databases:

UDC: 517.5
MSC: Primary 30D40; Secondary 30D15, 30D50, 30D55
Received: 28.07.1980

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”, Izv. Akad. Nauk SSSR Ser. Mat., 48:4 (1984), 750–778; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 4
\pages 750--778
\mathnet{http://mi.mathnet.ru/izv1490}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=755957}
\zmath{https://zbmath.org/?q=an:0587.30032}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 1
\pages 89--114
\crossref{https://doi.org/10.1070/IM1985v025n01ABEH001271}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Robert D Berman, “Generalized derivatives and the radial growth of positive harmonic functions”, Journal of Mathematical Analysis and Applications, 143:2 (1989), 394  crossref
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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