文章摘要
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
  
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)
作者单位
谢华友,刘军明 广东工业大学 应用数学学院广东 广州 510520 
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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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