On an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces

被引：36

作者：

Li, Songxiao ^{[2
]}

Stevic, Stevo ^{[1
]}

机构：

[1] Serbian Acad Sci, Math Inst, Beograde 11000, Serbia

[2] JiaYing Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 12期

关键词：

Integral-type operator; omega-Bloch space; mu-Zygmund space; Boundedness; Compactness; EXTENDED CESARO OPERATORS; RIEMANN-STIELTJES OPERATORS; GENERALIZED COMPOSITION OPERATORS; UNIT BALL; H-INFINITY; COMPACTNESS; BOUNDEDNESS;

D O I：

10.1016/j.amc.2009.12.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H(B) denote the space of all holomorphic functions on the unit ball B subset of C-n. We study the boundedness and compactness of the following integral-type operator P-g(f)(z) = integral(1)(0) f(tz)g(tz)dt/t, f is an element of H(B), z is an element of B, where g is an element of H(B) and g(0) = 0, from omega-Bloch spaces to mu-Zygmund spaces. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4385 / 4391

页数：7

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