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
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
\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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https://www.mathnet.ru/eng/im1490
https://doi.org/10.1070/IM1985v025n01ABEH001271
https://www.mathnet.ru/eng/im/v48/i4/p750
This publication is cited in the following 1 articles:
Robert D Berman, “Generalized derivatives and the radial growth of positive harmonic functions”, Journal of Mathematical Analysis and Applications, 143:2 (1989), 394
Citation in format AMSBIB
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