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

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.
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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

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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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
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