Composition Operators on Bounded Convex Domains in Cn

被引：0

作者：

Koo, Hyungwoon ^{[1
]}

Li, Song-Ying ^{[2
,3
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136713, South Korea

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[3] Fujian Normal Univ, Sch Math & CS, Fuzhou, Fujian, Peoples R China

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2016年 / 85卷 / 04期

关键词：

Composition operator; Boundedness; Convex domain; Finite type domain; Smooth symbol; PSEUDOCONVEX DOMAINS; BERGMAN SPACES; HARDY;

D O I：

10.1007/s00020-016-2300-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study composition operators on a class of bounded domains including convex domains Omega subset of C-n. We show that a general self-map phi of Omega always induces a bounded operator C-phi : A(alpha)(p)(Omega) -> A(alpha+n-1)(p) (Omega) and the weight gain n - 1 is optimal in certain sense. When phi is smooth, we provide explicit examples which reveal aspects quite different from the strongly pseudoconvex domain setting.

引用

页码：555 / 572

页数：18

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