单位多圆柱上加权Bergman空间上的复合算子

doi:10.13371/j.cnki.chin.q.j.m.2014.01.002

数学季刊 ›› 2014, Vol. 29 ›› Issue (1): 9-13.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.002

单位多圆柱上加权Bergman空间上的复合算子

1. College of Mathematics and Finance-Economics, Sichuan University of Arts and Science 2. College of Mathematics and Computational Science, Shenzhen University

收稿日期:2013-10-17 出版日期:2014-03-30 发布日期:2022-11-28
作者简介: HU Rong (1985-), female, native of Nanchong, Sichuan, a lecturer of Sichuan University of Arts and Science, M.S.D., engages in several complex.
基金资助:
Supported by the Scientific Research Fund of Sichuan Provincial Education Department (13ZB0101)

Composition Operators on the Weighted Bergman Space in the Unit Polydisk

1. College of Mathematics and Finance-Economics, Sichuan University of Arts and Science 2. College of Mathematics and Computational Science, Shenzhen University

Received:2013-10-17 Online:2014-03-30 Published:2022-11-28
About author: HU Rong (1985-), female, native of Nanchong, Sichuan, a lecturer of Sichuan University of Arts and Science, M.S.D., engages in several complex.
Supported by:
Supported by the Scientific Research Fund of Sichuan Provincial Education Department (13ZB0101)

摘要/Abstract

摘要： We consider the boundedness of composition operators on the Bergman space, and shows that when it is induced by automorphism is always bounded. At first we got a change of variables formula, which is very important for the proof of the boundedness of composition operators, and then obtain an upper bound for the special operator norm on Bergman space.

关键词: bergman space, polydiski composition operators, automorphism

Abstract: We consider the boundedness of composition operators on the Bergman space,and shows that when it is induced by automorphism is always bounded.At first we got a change of variables formula,which is very important for the proof of the boundedness of composition operators,and then obtain an upper bound for the special operator norm on Bergman space.

Key words: bergman space, polydiski composition operators, automorphism

中图分类号:

O174.56

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.

HU Rong, HU Peng-yan. Composition Operators on the Weighted Bergman Space in the Unit Polydisk[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 9-13.

[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]	蓝永红, 惠敏, 班桂宁, 邵明文. 所有p⁵阶群的自同构群的阶[J]. 数学季刊, 2012, 27(4): 495-503.
[3]	王玉雷, 孙大为, 王志俊. U(4,Z)的自同构群[J]. 数学季刊, 2012, 27(1): 98-103.
[4]	程永胜, 车颖涛. 李群T(D(V_N, F))的自同构群[J]. 数学季刊, 2011, 26(2): 200-207.
[5]	吴明忠. 以幂零李代数Rn为幂零根基的可解李代数[J]. 数学季刊, 2011, 26(1): 100-107.
[6]	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.
[7]	班桂宁, 张新政. 两类重要p-群及其自同构群的阶[J]. 数学季刊, 2008, 23(4): 491-493.
[8]	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.
[9]	龚胜军, 李尚志. 三变量中的一类坐标多项式[J]. 数学季刊, 2006, 21(4): 482-487.
[10]	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.
[11]	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.
[12]	卢克平, 赵晓霞. W_Ⅲ上的Bergman核[J]. 数学季刊, 2004, 19(1): 24-29.
[13]	张新政, 王勇, 班桂宁. p⁶阶群的自同构群的阶[J]. 数学季刊, 2003, 18(4): 369-377.

单位多圆柱上加权Bergman空间上的复合算子

Composition Operators on the Weighted Bergman Space in the Unit Polydisk

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 13

编辑推荐

Metrics

本文评价