Extended Cesaro operators on mixed norm spaces

被引：168
|
作者：
Hu, ZJ [1 ]
机构：
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 07期
关键词：
Cesaro operator; mixed norm space; normal weight;
D O I：
10.1090/S0002-9939-02-06777-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define an extended Cesaro operator T-g with holomorphic symbol g in the unit ball B of C-n as T-g(f)(z) = integral(0)(1) f(tz)Rg(tz) dt/t, f is an element of H(B), z is an element of B, where Rg(z) = Sigma(j=1)(n) z(j) partial derivativef/partial derivativez(j) is the radial derivative of g. In this paper we characterize those g for which T-g is bounded (or compact) on the mixed norm space H-p,H-q(w).
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页码：2171 / 2179
页数：9
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