Некоторые граничные свойства аналитических в поликруге функций, образующих линейно-инвариантные семейства
Problemy analiza, no. 16 (2009), pp. 13-32
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In this paper we investigate some boundary properties of derivatives of functions from linearly invariant families in the polydisk. In particular, we analyze angular behaviour of a such functions and apply the relationship between linearly invariant families and Bloch class.
@article{PA_2009_16_a1,
author = {E. G. Ganenkova},
title = {{\CYRN}{\cyre}{\cyrk}{\cyro}{\cyrt}{\cyro}{\cyrr}{\cyrery}{\cyre} {\cyrg}{\cyrr}{\cyra}{\cyrn}{\cyri}{\cyrch}{\cyrn}{\cyrery}{\cyre} {\cyrs}{\cyrv}{\cyro}{\cyrishrt}{\cyrs}{\cyrt}{\cyrv}{\cyra} {\cyra}{\cyrn}{\cyra}{\cyrl}{\cyri}{\cyrt}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyri}{\cyrh} {\cyrv} {\cyrp}{\cyro}{\cyrl}{\cyri}{\cyrk}{\cyrr}{\cyru}{\cyrg}{\cyre} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyrishrt}, {\cyro}{\cyrb}{\cyrr}{\cyra}{\cyrz}{\cyru}{\cyryu}{\cyrshch}{\cyri}{\cyrh} {\cyrl}{\cyri}{\cyrn}{\cyre}{\cyrishrt}{\cyrn}{\cyro}-{\cyri}{\cyrn}{\cyrv}{\cyra}{\cyrr}{\cyri}{\cyra}{\cyrn}{\cyrt}{\cyrn}{\cyrery}{\cyre} {\cyrs}{\cyre}{\cyrm}{\cyre}{\cyrishrt}{\cyrs}{\cyrt}{\cyrv}{\cyra}},
journal = {Problemy analiza},
pages = {13--32},
year = {2009},
number = {16},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PA_2009_16_a1/}
}
E. G. Ganenkova. Некоторые граничные свойства аналитических в поликруге функций, образующих линейно-инвариантные семейства. Problemy analiza, no. 16 (2009), pp. 13-32. http://geodesic.mathdoc.fr/item/PA_2009_16_a1/