On an integral-type operator from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball

被引：44
|
作者：
Stevic, Stevo [1 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 11期
关键词：
Integral-type operator; Bloch-type space; Mixed-norm space; Boundedness; Compactness; Unit ball; EXTENDED CESARO OPERATORS; RIEMANN-STIELTJES OPERATORS; GENERALIZED COMPOSITION OPERATORS; WEIGHTED COMPOSITION OPERATORS; H-INFINITY; COMPACTNESS; BOUNDEDNESS; PRODUCTS;
D O I：
10.1016/j.amc.2009.11.022
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 open unit ball B of C-n and g is an element of H(B). We characterize the boundedness and compactness of the following integral-type operator L(g)f(z) = integral(1)(0) Rf(tz)g(tz)dt/t, z is an element of B, where Rf is the radial derivative of function f, from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball. (C) 2009 Elsevier Inc. All rights reserved.
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页码：3817 / 3823
页数：7
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