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

页码：479 / 492

页数：14

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