The Bezout equation for functions of log-type growth in convex domains of finite type

被引：0

作者：

Jasiczak, Michal ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 05期

关键词：

Bezout equation; corona decomposition; partial derivative-equation; domain of finite type; spaces of holomorphic functions; CORONA TYPE DECOMPOSITION; PSEUDOCONVEX DOMAINS; ANALYTIC FUNCTIONS; INDUCTIVE LIMITS; H-P; BERGMAN; SPACES; BMOA;

D O I：

10.1002/mana.200710015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to solve a division problem for the algebra of functions, which are holomorphic in a domain D subset of C(n), n > 1, and grow near the boundary not faster than some power of - log dist(z, bD). The domain D is assumed to be smoothly bounded and convex of finite d'Angelo type. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim

引用

页码：721 / 731

页数：11

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