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
Izvestiya. Mathematics , Tome 25 (1985) no. 1, pp. 89-114
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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
@article{IM2_1985_25_1_a5,
author = {A. P. Mul},
title = {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},
journal = {Izvestiya. Mathematics },
pages = {89--114},
publisher = {mathdoc},
volume = {25},
number = {1},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1985_25_1_a5/}
}
TY - JOUR AU - A. P. Mul TI - 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 JO - Izvestiya. Mathematics PY - 1985 SP - 89 EP - 114 VL - 25 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1985_25_1_a5/ LA - en ID - IM2_1985_25_1_a5 ER -
%0 Journal Article %A A. P. Mul %T 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 %J Izvestiya. Mathematics %D 1985 %P 89-114 %V 25 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1985_25_1_a5/ %G en %F IM2_1985_25_1_a5
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. Izvestiya. Mathematics , Tome 25 (1985) no. 1, pp. 89-114. http://geodesic.mathdoc.fr/item/IM2_1985_25_1_a5/