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.
In this paper,the authors describe the reducing subspaces of Toeplitz operators T_z_1n（or T_z_2n） and T_z_1N_z_2N on the weighted Dirichlet space of the bidisk D_α（D^2）.They show that the structure of the reducing subspaces of T_z1N（or T_z_2N） is independent of the weightα,while for T_z_1N_z^2N,the situation is different.
作者
林鸿钊
胡寅寅
卢玉峰
LIN Hongzhao HU Yinyin LU Yufeng(School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China College of Computer and Information Sciences, Fujian Agriculture and Forestry University, ~zhou 350002, China 2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, Chin 3Corresponding author. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China.)
出处
《数学年刊（A辑）》
CSCD
北大核心
2016年第3期311-328,共18页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.11271059)的资助
