| 陈泳,徐辉明,于涛.Dirichlet空间上Toeplitz算子的交换性(Ⅱ)[J].数学年刊A辑,2010,31(6):737~748 |
| Dirichlet空间上Toeplitz算子的交换性(Ⅱ) |
| Commutativity of Toeplitz Operators on the Dirichlet Space (Ⅱ) |
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| DOI： |
| 中文关键词: Dirichlet空间 Toeplitz算子 拟齐次符号 紧性 交换性 |
| 英文关键词: |
| 基金项目:国家自然科学基金，浙江省自然科学基金，浙江省教育厅项目 |
| Author Name | Affiliation | E-mail | | CHEN Yong | College of Mathematics, Physics and Information Engineering, Zhejiang Nor-
mal University, Jinhua 321004, Zhejiang, China
School of Mathematical Sci-
ences, Fudan University, Shanghai 200433, China. | ychen227@gmail.com | | XU Huiming | College of Mathematics, Physics and Information En-
gineering, Zhejiang Normal University, Jinhua 321004, Zhejiang, China. | xhm@zjnu.cn | | YU Tao | College of Mathematics, Physics and Information Engineering, Zhejiang Nor-
mal University, Jinhua 321004, Zhejiang, China. | yufuzhou@zjnu.cn |
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| 中文摘要: |
| 首先讨论了Ω符号的Toeplitz算子在Dirichlet空间D2上的交换性,推广了有界调和符号情形,也给出了不同于经典Hardy空间或Bergman空间上交换性的新情形;其次给山了L∞θ.1符号Toeplitz算于与径向或拟齐次符号的Toeplitz算于可交换的充要条件.所得结果与Hardy空间,Bergman空间以及Dirichlet空间D均有不同. |
| 英文摘要: |
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