林庆泽.导数Hardy空间上的广义Cesaro算子[J].海南师范大学学报自科版,2023,36(1):1-6 |
导数Hardy空间上的广义Cesaro算子 |
Generalized Cesaro Operators on Derivative Hardy Spaces |
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DOI:10.12051/j.issn.1674-4942.2023.01.001 |
中文关键词: 广义Cesaro算子 导数Hardy空间 严格奇异性 有界性 紧性 |
英文关键词: generalized Cesaro operator derivative Hardy space strict singularity boundedness compactness |
基金项目:国家自然科学基金项目(11801094) |
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中文摘要: |
本文利用加权复合算子在Hardy空间上的性质给出了广义Cesaro算子在导数Hardy空
间上的有界性和紧性的完整刻画,接着刻画了广义Cesaro算子的伴随算子的泰勒展开式,最后研
究了广义Cesaro算子在导数Hardy空间上的严格奇异性。 |
英文摘要: |
In this paper, by using the properties of weighted composite operators on Hardy spaces, the complete character⁃
izations of the boundedness and compactness of the generalized Cesaro operators on derivative Hardy spaces are obtained.
Then, the Taylor expansions of the adjoints of generalized Cesaro operators are described. Finally, the strict singularities of
generalized Cesaro operator on derivative Hardy spaces are investigated. |
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