Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 361-371
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R. F. Shamoyan. A representation of linear functionals on some class of holomorphic functions in the unit disk. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 361-371. http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a11/
@article{JMAG_1999_6_3_a11,
author = {R. F. Shamoyan},
title = {A representation of linear functionals on some class of holomorphic functions in the unit disk},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {361--371},
year = {1999},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a11/}
}
TY - JOUR
AU - R. F. Shamoyan
TI - A representation of linear functionals on some class of holomorphic functions in the unit disk
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1999
SP - 361
EP - 371
VL - 6
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a11/
LA - ru
ID - JMAG_1999_6_3_a11
ER -
%0 Journal Article
%A R. F. Shamoyan
%T A representation of linear functionals on some class of holomorphic functions in the unit disk
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1999
%P 361-371
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a11/
%G ru
%F JMAG_1999_6_3_a11
A description is given for the dual space to the class of holomorphic functions in $\mathbb D=\{z:|z|<1\}$ such that $\lim\limits_{r\to 1-0}\frac{(1-r)^2}{\omega(1-r)}D^{\alpha+2}(f(re^{i\varphi}))=0$, uniformly in $\varphi$, $\omega(\delta)$ being a function of modulus of continuity type, $\alpha\geq0$. The result extends a known Duren–Romberg–Shields theorem on the dual space to the class $\lambda_{\alpha}^{(n)}$, $0<\alpha\le1$, $n\geq0$.
