| 谢华友，刘军明.在Hardy空间及加权Bergman空间之间的广义
Volterra型算子[J].海南师范大学学报自科版,2019,32(4):402-409 |
| 在Hardy空间及加权Bergman空间之间的广义
Volterra型算子 |
| Generalized Volterra-type Operators between Hardy Space andWeighted Bergman Spaces |
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| DOI：10.12051/j.issn.1674-4942.2019.04.008 |
| 中文关键词: Volterra型算子 Hardy空间 加权Bergman空间 |
| 英文关键词: Volterra-type operators Hardy space weighted Bergman space |
| 基金项目:国家自然科学基金资助项目（11801094） |
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| 中文摘要: |
| 近年来广义Volterra型算子在一些具体的空间上的有界性和紧性吸引了很多学者的兴
趣，但在Hardy空间和加权Bergman空间之间的广义Volterra型算子的研究尚未完善。因此，本文刻
画了在Hardy空间和加权Bergman空间之间的广义Volterra型算子的有界性和紧性，进一步完善了
广义Volterra型算子的性质。 |
| 英文摘要: |
| In recent years, the boundedness and compactness of generalized Volterra-type operators on some specific
spaces have attracted many scholars' interests, but the study of the generalized Volterra-type operators between Hardy
space and weighted Bergman space are not yet complete. Therefore, this paper characterized the boundedness and compact⁃
ness of generalized Volterra-type operators between Hardy space and weighted Bergman space, and the properties of gener⁃
alized Volterra-type operators were further improved. |
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