The multipliers between the mixed norm spaces in Cn

被引:43
|
作者
Zhang, XJ [1 ]
Xiao, JB
Hu, ZJ
机构
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410006, Hunan, Peoples R China
[2] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310037, Zhejiang, Peoples R China
[3] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
pointwise multiplier; mixed norm space; Bergman space; unit ball;
D O I
10.1016/j.jmaa.2005.03.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we discuss the pointwise multipliers between the mixed norm spaces on the unit ball of C-n. For normal functions phi(1) and phi(2), we give several full characterizations of the pointwise multipliers M(H(p, q, phi(1)), H(p, q, phi(2))) for 0 < p <= infinity, 0 < q <= infinity and M(H(p, p, phi(1)), H (q, q, phi(2))) for 0 < p < infinity, 0 < q < infinity. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:664 / 674
页数:11
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