Composition operators on the polydisk induced by affine maps

被引：9

作者：

Bayart, Frederic ^{[1
,2
]}

机构：

[1] Univ Clermont Ferrand, Clermont Univ, Math Lab, F-63000 Clermont Ferrand, France

[2] CNRS, UMR 6620, Math Lab, F-63177 Aubiere, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2011年 / 260卷 / 07期

关键词：

Composition operators; Polydisk; Carleson measures;

D O I：

10.1016/j.jfa.2010.12.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the continuity of composition operators on the classical Hardy and weighted Bergman spaces of the polydisk. We show that this problem involves some delicate properties of the derivative of the symbol. In particular, we characterize continuity when the symbol is a linear self-map of the polydisk. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1969 / 2003

页数：35

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