Integral-type operators acting between weighted-type spaces on the unit ball

被引：86

作者：

Stevic, Stevo ^{[1
]}

Ueki, Sei-ichiro ^{[2
]}

机构：

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

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 07期

关键词：

Integral-type operators; Weighted-type space; Boundedness; Essential norm; BLOCH-TYPE SPACE; RIEMANN-STIELTJES OPERATORS; EXTENDED CESARO OPERATORS; MIXED NORM SPACE; H-INFINITY; PRODUCTS; COMPACTNESS; BOUNDEDNESS;

D O I：

10.1016/j.amc.2009.08.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B denote the unit ball in C-n and H(B) the space of all holomorphic functions on B. We study the boundedness and compactness of the following integral-type operators I(phi)(g)f(z) = integral(1)(0) Rf(phi(tz))g(tz)dt/t, z is an element of B, where g is an element of H(B),g(0) = 0, phi is a holomorphic self-map of B and Rf is the radial derivative of f, between weighted-type spaces on the unit ball. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2464 / 2471

页数：8

共 40 条

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