| 苏简兵,吴鑫.一类广义Cartan-Hartogs域上加权Bloch空间之间复合算子的有界性和紧性*[J].数学年刊A辑,2023,44(4):435~448 |
| 一类广义Cartan-Hartogs域上加权Bloch空间之间复合算子的有界性和紧性* |
| Boundedness and Compactness of the Composition Operators Between Weighted Bloch Spaces on a Class of Generalized Cartan-Hartogs Domain |
| Received:September 02, 2020 Revised:February 27, 2022 |
| DOI：10.16205/j.cnki.cama.2023.0030 |
| 中文关键词: 广义Cartan-Hartogs域, 加权Bloch空间, 复合算子, 有界性, 紧性 |
| 英文关键词:Generalized Cartan-Hartogs domain, Weighted Bloch space,Composition operators, Boundedness, Compactness |
| 基金项目:国家自然科学基金 (No.11771184)和江苏省普通高校研究生科研创新计划项目(No.KYCX-2093) |
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| 中文摘要: |
| 本文在一类以Cartan域的乘积域为底的广义Cartan-Hartogs域上定义了加权Bloch空间, 并讨论了加权Bloch空间之间复合算子的有界性和紧性, 得到了复合算子是有界算子或紧算子的充分条件和必要条件. |
| 英文摘要: |
| In this paper, the weighted Bloch space is defined on a class of generalized CartanHartogs domain, and the sufficient conditions and necessary conditions for the boundedness and compactness of the composition operators between these weighted Bloch spaces are discussed. |
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