单位球上Hardy空间之间的加权复合算子

数学季刊 ›› 2004, Vol. 19 ›› Issue (2): 111-119.

• • 下一篇

单位球上Hardy空间之间的加权复合算子

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2004-01-05 出版日期:2004-06-30 发布日期:2024-03-15
作者简介:XU Hui-ming(1963-),male,native of Fengcheng,Jiangxi,an associate professor of Zhejiang Normal University,engages in SCV;LIU Tai-shun(1957-),male,native of Huoshan,Anhui,a professor of University of Science and Technology of China,engages in SCV.
基金资助:
Supported in part by 973 plan and NSF of Zhejiang Province of China(Gl999075105)；

Weighted Composition Operators between Hardy Spaces on the Unit Ball

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received:2004-01-05 Online:2004-06-30 Published:2024-03-15
About author:XU Hui-ming(1963-),male,native of Fengcheng,Jiangxi,an associate professor of Zhejiang Normal University,engages in SCV;LIU Tai-shun(1957-),male,native of Huoshan,Anhui,a professor of University of Science and Technology of China,engages in SCV.
Supported by:
Supported in part by 973 plan and NSF of Zhejiang Province of China(Gl999075105)；

摘要/Abstract

摘要： We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H¹ to H¹ is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.

关键词: Hardy space, Bergman space, weighted composition operator, s-Carleson mea-
sure

Abstract: We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H¹ to H¹ is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.

Key words: Hardy space, Bergman space, weighted composition operator, s-Carleson mea-
sure

中图分类号:

O177

徐辉明, 刘太顺. 单位球上Hardy空间之间的加权复合算子[J]. 数学季刊, 2004, 19(2): 111-119.

XU Hui-ming, LIU Tai-shun . Weighted Composition Operators between Hardy Spaces on the Unit Ball[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 111-119.

[1]	鲁美麟, 李德生, 关洪岩. 单位球加权Bergman空间上的Berezin变换与径向算子[J]. 数学季刊, 2015, 30(1): 47-54.
[2]	胡蓉, 胡鹏彦. 单位多圆柱上加权Bergman空间上的复合算子[J]. 数学季刊, 2014, 29(1): 9-13.
[3]	程国正, 于涛 . 多圆盘上的交换对偶Toeplitz算子[J]. 数学季刊, 2009, 24(1): 63-68.
[4]	郭继东, 刘品, 高文华等. 加权复合算子在Bloch型空间上的有界性[J]. 数学季刊, 2008, 23(3): 356-359.
[5]	王雄亮, 刘太顺. 有界对称域上的加权Bergman空间[J]. 数学季刊, 2008, 23(1): 36-44.
[6]	陈书权, 束立生. θ型Calderón-Zygmund奇异积分算子在加权Herz型Hardy空间上的有界性[J]. 数学季刊, 2007, 22(4): 574-580.
[7]	唐笑敏. α-Bloch空间到H^∞的加权复合算子[J]. 数学季刊, 2007, 22(3): 370-376.
[8]	胡璋剑, 刘太顺. 关于b^p空间（0 < p < 1）[J]. 数学季刊, 2004, 19(4): 331-337.
[9]	郭继东. 有界对称域Cⁿ上的解析函数[J]. 数学季刊, 1997, 12(2): 29-32.

单位球上Hardy空间之间的加权复合算子

Weighted Composition Operators between Hardy Spaces on the Unit Ball

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 9

编辑推荐

Metrics

本文评价