双圆盘加权Dirichlet空间上Toeplitz算子的约化子空间
Release Time:2019-03-11 Hits:
Indexed by: Journal Article
Date of Publication: 2016-01-01
Journal: 数学年刊. A辑
Included Journals: CSCD、ISTIC、PKU
Volume: 37
Issue: 3
Page Number: 311-328
ISSN: 1000-8314
Key Words: 约化子空间; Toeplitz算子; Dirichlet空间; 双圆盘
Abstract: 刻画了双圆盘加权Dirichlet空间D_alpha(D~2)上Toeplitz算子T_(z_1~N)
(或T_(z_2~N))和T_(z_1~Nz_2~N)的约化子空间.结果表明Toeplitz算子T_(z_1~N)
(或T_z_2~N)的约化子空间结构与系数alpha无关,而Toeplitz算子T_(z_1~Nz_2~N)的约化子空间结构与权系数alpha有
关.