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PDF(387 KB)
PDF(387 KB)
Dirichlet空间上的Bergman型Toeplitz算子
The Bergman-Type Toeplitz Operator on Dirichlet Space
本文给出了Dirichlet空间上以有界调和函数为符号的Bergman型Toeplitz算子是紧算子的充要条件.同时刻画了此类Bergman型Toeplitz算子在Dirichlet空间上的交换性.
We give sufficient and necessary conditions for Bergman-type Toeplitz operators on Dirichlet space with bounded harmonic symbols to be a compact operator. And we characterize commuting Bergman-type Toeplitz operators with harmonic symbols on Dirichlet space.
Dirichlet空间 / Bergman型Toeplitz算子 / 紧算子 / 交换性 {{custom_keyword}} /
Dirichlet space / Bergman-type Toeplitz operator / compact / commuting {{custom_keyword}} /
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国家自然科学基金资助项目（11501068）；重庆市教委项目（cstc2015jcyjA00005，KJ1600302）；重庆师范大学研究生科研创新项目（YKC17010）
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