Some questions in the value distribution theory of holomorphic mappings, and complex variations
Sbornik. Mathematics, Tome 43 (1982) no. 2, pp. 275-285
Voir la notice de l'article provenant de la source Math-Net.Ru
In this paper we study the asymptotic properties of the order functions $T_q$, $q\in\overline{1,m}$, of holomorphic mappings $f\colon\mathbf C^m\to\mathbf C^n$ in terms of the complex variations of corresponding plurisubharmonic functions. We introduce a class of mappings for which we prove a quasisurjectivity theorem of Sokhotskii type and give the asymptotics of the order functions.
Bibliography: 13 titles.
@article{SM_1982_43_2_a6,
author = {P. V. Degtar'},
title = {Some questions in the value distribution theory of holomorphic mappings, and complex variations},
journal = {Sbornik. Mathematics},
pages = {275--285},
publisher = {mathdoc},
volume = {43},
number = {2},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1982_43_2_a6/}
}
P. V. Degtar'. Some questions in the value distribution theory of holomorphic mappings, and complex variations. Sbornik. Mathematics, Tome 43 (1982) no. 2, pp. 275-285. http://geodesic.mathdoc.fr/item/SM_1982_43_2_a6/