文章摘要
林庆泽.Volterra型算子在导数Hardy空间上的紧性及谱[J].海南师范大学学报自科版,2020,(4):388-390
Volterra型算子在导数Hardy空间上的紧性及谱
The Compactness and Spectra of Volterra Type Operators onDerivative Hardy Spaces
  
DOI:10.12051/j.issn.1674-4942.2020.04.004
中文关键词: Volterra型算子  导数Hardy空间  紧性  
英文关键词: Volterra type operator  derivative Hardy space  compactness  spectrum
基金项目:国家自然科学基金项目(11801094)
作者单位
林庆泽 中山大学 数学学院广东 广州 510275 
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中文摘要:
      Volterra型算子在导数Hardy空间上的有界性近年来已被刻画。文章刻画了Volterra型 算子在导数Hardy空间上的紧性,同时利用Volterra型算子在导数Hardy空间上的有界性和紧性的 结果给出Volterra型算子在导数Hardy空间上的谱的完整刻画。
英文摘要:
      The boundedness of Volterra type operators on the derivative Hardy spaces has been characterized in recent years. This paper will continue to describe the compactness of Volterra type operators on the derivative Hardy spaces, and in the meantime, the complete descriptions of the spectra of Volterra type operators on the derivative Hardy spaces are giv⁃ en by resorting to the results of boundedness and compactness of these operators on the derivative spaces.
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