Bloch functions on bounded symmetric domains

被引：31

作者：

Chu, Cho-Ho ^{[1
]}

Hamada, Hidetaka ^{[2
]}

Honda, Tatsuhiro ^{[3
]}

Kohr, Gabriela ^{[4
]}

机构：

[1] Queen Mary Univ London, London E1 4NS, England

[2] Kyushu Sangyo Univ, Fac Engn, Higashi Ku, 3-1 Matsukadai 2 Chome, Fukuoka 8138503, Japan

[3] Hiroshima Inst Technol, Hiroshima 7315193, Japan

[4] Univ Babes Bolyai, Fac Math & Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 06期

关键词：

Bloch function; Bounded symmetric domain; Composition operator; JB*-triple; WEIGHTED COMPOSITION OPERATORS; LINEARLY INVARIANT FAMILIES; COMPLEX BANACH-SPACES; UNIT BALL; DISTORTION-THEOREMS; HILBERT-SPACE; C-N; MAPPINGS; VARIABLES; TRIPLE;

D O I：

10.1016/j.jfa.2016.11.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and characterize Bloch functions on bounded symmetric domains, which may be infinite dimensional, by extending several well-known equivalent conditions for Bloch functions on the open unit disc U in C. We also generalize a number of results concerning Bloch functions on U to bounded symmetric domains. Given a holomorphic mapping phi between bounded symmetric domains Beta x and Beta y, we derive criteria for boundedness and compactness of the composition operator C-phi between the Bloch spaces beta(Beta(Upsilon)) and beta(Beta(Chi)), extending several known results for finite dimensional domains. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：2412 / 2441

页数：30

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