Bloch Space of a Bounded Symmetric Domain and Composition Operators

被引：12
|
作者：
Chu, Cho-Ho [1 ]
Hamada, Hidetaka [2 ]
Honda, Tatsuhiro [3 ,4 ]
Kohr, Gabriela [5 ]
机构：
[1] Queen Mary Univ London, London E1 4NS, England
[2] Kyushu Sangyo Univ, Fac Sci & Engn, Higashi Ku, 3-1 Matsukadai 2 Chome, Fukuoka, Fukuoka 8138503, Japan
[3] Hiroshima Inst Technol, Hiroshima 7315193, Japan
[4] Senshu Univ, Sch Commerce, Kawasaki, Kanagawa 2148580, Japan
[5] Babes Bolyai Univ, Fac Math & Comp Sci, 1 M Kogalniceanu Str, Cluj Napoca 400084, Romania
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2019年 / 13卷 / 02期
关键词：
Bloch space; Bounded symmetric domain; Composition operator; JB*-triple;
D O I：
10.1007/s11785-018-0835-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize a number of finite dimensional results on Bloch functions to infinite dimensional bounded symmetric domains. In particular, we characterize the Bloch space as well as the little Bloch space of a Hilbert ball, and give one sufficient and several necessary conditions for a composition operator on a Bloch space to be an isometry. We also answer some open questions of Allen and Colonna concerning Bloch functions and composition operators.
引用
收藏
页码：479 / 492
页数：14
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