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
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 311卷 / 02期
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
相关论文
共 50 条
[21]   Bergman type operator on mixed norm spaces with applications [J].
Ren, GB ;
Shi, JH .
CHINESE ANNALS OF MATHEMATICS SERIES B, 1997, 18 (03) :265-276
[22]   Holomorphic Functions on the Mixed Norm Spaces on the Polydisc II [J].
Avetisyan, Karen ;
Stevic, Stevo .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2009, 11 (02) :239-251
[23]   Fractional Integration on Mixed Norm Spaces. I [J].
Feng Guo ;
Xiang Fang ;
Shengzhao Hou ;
Xiaolin Zhu .
Complex Analysis and Operator Theory, 2024, 18
[24]   DERIVATIVES OF BLASCHKE PRODUCTS IN WEIGHTED MIXED NORM SPACES [J].
Reijonen, Atte .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (02) :627-643
[25]   Derivatives of Inner Functions in Weighted Mixed Norm Spaces [J].
Atte Reijonen .
The Journal of Geometric Analysis, 2019, 29 :1859-1875
[26]   Strong maximal operator on mixed-norm spaces [J].
Ho K.-P. .
ANNALI DELL'UNIVERSITA' DI FERRARA, 2016, 62 (2) :275-291
[27]   Fractional Integration on Mixed Norm Spaces. II [J].
Zhu, Xiaolin ;
Fang, Xiang ;
Guo, Feng ;
Hou, Shengzhao .
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (05)
[28]   Fractional Integration on Mixed Norm Spaces. II [J].
Xiaolin Zhu ;
Xiang Fang ;
Feng Guo ;
Shengzhao Hou .
The Journal of Geometric Analysis, 2023, 33
[29]   Weighted Differentiation Composition Operators from Mixed-Norm to Zygmund Spaces [J].
Liu, Yongmin ;
Yu, Yanyan .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2010, 31 (08) :936-954
[30]   On an integral-type operator from the Bloch space to mixed norm spaces [J].
Li, Hao .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 :624-630
12345