| 双圆盘加权Dirichlet空间上Toeplitz算子的约化子空间 |
| |
| 引用本文： | 林鸿钊,胡寅寅,卢玉峰.双圆盘加权Dirichlet空间上Toeplitz算子的约化子空间[J].数学年刊A辑(中文版),2016,37(3):311-328. |
| |
| 作者姓名： | 林鸿钊 胡寅寅 卢玉峰 |
| |
| 作者单位： | 大连理工大学数学科学学院, 辽宁\大连 116024; 福建农林大学计算机与信息学院, 福州 350002.,大连理工大学数学科学学院, 辽宁\大连 116024.,通讯作者. 大连理工大学数学科学学院, 辽宁\大连 116024 |
| |
| 基金项目： | 本文受到国家自然科学基金 (No.11271059) 的资助. |
| |
| 摘 要： | 刻画了双圆盘加权Dirichlet空间D_α(D~2)上Toeplitz算子T_Z_1N(或T_z_2N)和T_z_1N_z_2N的约化子空间.结果表明Toeplitz算子T_z_1N(或T_z_2N)的约化子空间结构与权系数α无关,而Toeplitz算子T_2_1N_z_2N的约化子空间结构与权系数α有关.
|
| 关 键 词： | 约化子空间 Toeplitz 算子 Dirichlet 空间 双圆盘 |
| 收稿时间： | 2014/6/26 0:00:00 |
| 修稿时间： | 2015/9/27 0:00:00 |
Reducing Subspaces of Toeplitz Operator on the Weighted Dirichlet Space of the Bidisk |
| |
| School of Mathematical Sciences,Dalian University of Technology,Dalian,Liaoning,China; College of Computer and Information Sciences,Fujian Agriculture and
Forestry University,Fuzhou,China.,School of Mathematical Sciences,Dalian University of Technology,Dalian,Liaoning,China. and Corresponding author. School of Mathematical Sciences,Dalian University of Technology,Dalian,Liaoning,China..Reducing Subspaces of Toeplitz Operator on the Weighted Dirichlet Space of the Bidisk[J].Chinese Annals of Mathematics,2016,37(3):311-328. |
| |
| Authors: | School of Mathematical Sciences Dalian University of Technology Dalian Liaoning China; College of Computer and Information Sciences Fujian Agriculture and
Forestry University Fuzhou China School of Mathematical Sciences Dalian University of Technology Dalian Liaoning China and Corresponding author School of Mathematical Sciences Dalian University of Technology Dalian Liaoning China |
| |
| Abstract: | In this paper, the authors describe the reducing subspaces of
Toeplitz operators $T_{z_1^N}$ (or $T_{z_2^N}$) and $T_{z_1^Nz_2^N}$
on the weighted Dirichlet space of the bidisk
${\mathcal{D}}_\alpha({{{\mathbb{D}}}^{2}})$. They show that
the structure of the reducing subspaces of $T_{z_1^N}$ (or
$T_{z_2^N}$) is independent of the weight $\alpha$, while for
$T_{z_1^Nz_2^N}$, the situation is different. |
| |
| Keywords: | Reducing subspaces Toeplitz operators Dirichlet space Bidisk |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
|
