| 刘晓曼,刘永民.复Banach空间的单位球上Bloch-型空间之间的有界的加权复合算子*[J].数学年刊A辑,2023,44(4):383~398 |
| 复Banach空间的单位球上Bloch-型空间之间的有界的加权复合算子* |
| Bounded Weighted Composition Operators Between the Bloch Type Spaces on the Unit Ball of Complex Banach Spaces |
| Received:May 26, 2022 Revised:June 13, 2023 |
| DOI：10.16205/j.cnki.cama.2023.0027 |
| 中文关键词: 加权复合算子, Banach空间, Bloch-型空间, 小Bloch-型空间, 有界性 |
| 英文关键词:Weighted composition operator, Banach spaces, Bloch type space,Little Bloch type space, Boundedness |
| 基金项目:国家自然科学基金 (No.11771184, No.11771188), 江苏省基础研究计划 (No.BK20210380, No.BK20221508)和江苏省人才计划项目 (No.JSSCBS20210277) |
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| 中文摘要: |
| 设 X 是有限或无限维的复Banach空间.作者刻画了 X 的单位球上Bloch-型空间与小Bloch-型空间之间的有界的加权复合算子,从而推广了有限维区域上的一些结果. |
| 英文摘要: |
| Let X be a finite or infinite dimensional complex Banach space. The authors characterize the bounded weighted composition operators between the Bloch type space and the little Bloch type space on the unit ball of X, generalizing several known results for finite dimensional domains. |
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