Matematičeskie zametki, Tome 52 (1992) no. 1, pp. 128-140
Citer cet article
F. A. Shamoyan. Remarks on a parametric representation of Nevanlinna–Dzhrbashyan classes. Matematičeskie zametki, Tome 52 (1992) no. 1, pp. 128-140. http://geodesic.mathdoc.fr/item/MZM_1992_52_1_a17/
@article{MZM_1992_52_1_a17,
author = {F. A. Shamoyan},
title = {Remarks on a parametric representation of {Nevanlinna{\textendash}Dzhrbashyan} classes},
journal = {Matemati\v{c}eskie zametki},
pages = {128--140},
year = {1992},
volume = {52},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1992_52_1_a17/}
}
TY - JOUR
AU - F. A. Shamoyan
TI - Remarks on a parametric representation of Nevanlinna–Dzhrbashyan classes
JO - Matematičeskie zametki
PY - 1992
SP - 128
EP - 140
VL - 52
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1992_52_1_a17/
LA - ru
ID - MZM_1992_52_1_a17
ER -
%0 Journal Article
%A F. A. Shamoyan
%T Remarks on a parametric representation of Nevanlinna–Dzhrbashyan classes
%J Matematičeskie zametki
%D 1992
%P 128-140
%V 52
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1992_52_1_a17/
%G ru
%F MZM_1992_52_1_a17
This article presents a parametric representation for classes of functions f that are holomorphic in the unit disk and such that $$ \int_{|\xi|<1}(1-|\xi|)^{\alpha-1}\log^+|f(\xi)|dm_2(\xi)<+\infty \quad (\alpha>0). $$ Here $m_2$ is the flat Lebesque measure.
