On operator Pφg from the logarithmic Bloch-type space to the mixed-norm space on the unit ball

被引：77
|
作者：
Stevic, Stevo [1 ]
机构：
[1] Serbian Acad Sci, Math Inst, Beograde 11000, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 12期
关键词：
Integral-type operator; Boundedness; Compactness; Unit ball; Logarithmic Bloch-type space; Mixed-norm space; WEIGHTED COMPOSITION OPERATORS; RIEMANN-STIELTJES OPERATORS; EXTENDED CESARO OPERATORS; INTEGRAL-TYPE OPERATORS; H-INFINITY; C-N; ANALYTIC-FUNCTIONS; ZYGMUND SPACES; HARDY-SPACES; COMPACTNESS;
D O I：
10.1016/j.amc.2009.12.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundedness and compactness of the following recently introduced, by this author, integral-type operator P(phi)(g)f(z) = integral(1)(0)f(phi(tz))g(tz)dt/t, z is an element of B, where phi is a holomorphic self-map of the unit ball B in C-n and g is a holomorphic function on B such that g(0) = 0, from logarithmic Bloch-type spaces to mixed-norm spaces on B, are studied in this paper. (C) 2009 Elsevier Inc. All rights reserved.
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页码：4248 / 4255
页数：8
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