THE BOUNDEDNESS AND ESSENTIAL NORM OF THE DIFFERENCE OF COMPOSITION OPERATORS FROM WEIGHTED BERGMAN SPACES INTO THE BLOCH SPACE

被引：1

作者：

Zhang, Yanhua ^{[1
]}

Zhang, Lixu ^{[2
]}

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

[2] Macau Univ Sci & Technol, Fac Informat Technol, Ave Wai Long, Taipa, Macao, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2018年 / 21卷 / 04期

关键词：

Bloch space; weighted Bergman space; difference of composition operators; boundedness; essential norm; COMPACT COMPOSITION OPERATORS; INTEGRAL-TYPE OPERATORS;

D O I：

10.7153/mia-2018-21-79

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new characterization for the boundedness of the difference of composition operators C-phi - C-psi from weighted Bergman spaces into the Bloch space in terms of the Bloch norm of the quantities phi(n) - psi(n), n is an element of N, is given, as well as an asymptotic estimate for the essential norm of the operator.

引用

页码：1153 / 1165

页数：13

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