DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS ACTING FROM BLOCH SPACE TO H∞

被引：22

作者：

Hosokawa, Takuya ^{[1
]}

Ohno, Shuichi ^{[2
]}

机构：

[1] Ibaraki Univ, Fac Engn, Hitachi, Ibaraki 3168511, Japan

[2] Nippon Inst Technol, Miyashiro, Minami Saitama 3458501, Japan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 363卷 / 10期

基金：

日本学术振兴会;

关键词：

Composition operators; the space of bounded analytic functions; Bloch spaces; TOPOLOGICAL-STRUCTURE; ESSENTIAL NORM;

D O I：

10.1090/S0002-9947-2011-05245-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the boundedness and compactness of the differences of two weighted composition operators acting from the Bloch space B to the space H-infinity of bounded analytic functions on the open unit disk. Such a study has a relationship to the topological structure problem of composition operators on H-infinity. Using this relation, we will estimate the operator norms and the essential norms of the differences of two composition operators acting from B to H-infinity.

引用

页码：5321 / 5340

页数：20

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