从指数权Bergman空间Aψp到Bloch空间的Volterra积分算子
Volterra Type Operators from Bergman Spaces with Exponential Weights to the Bloch Space
DOI: 10.12677/PM.2021.119182, PDF, HTML,  被引量 下载: 346  浏览: 548  国家自然科学基金支持
作者: 施业成, 王尔敏*：岭南师范学院数学与统计学院，广东 湛江
关键词: 指数权Bergman空间；Bloch空间；Volterra型算子；有界性；Bergman Spaces with Exponential Weights； Bloch Space； Volterra Type Operators； Boundedness
摘要: 本论文主要讨论从指数权Bergman空间Aψp到Bloch空间的Volterra积分算子的有界性和紧性刻曲。
Abstract: We consider the boundedness and compactness of Volterra type operators from the Bergman spaces with exponential weights to the Bloch Space.
文章引用：施业成, 王尔敏. 从指数权Bergman空间Aψp到Bloch空间的Volterra积分算子[J]. 理论数学, 2021, 11(9): 1643-1648. https://doi.org/10.12677/PM.2021.119182

参考文献

[1] Hu, Z., Lv, X. and Schuster, A. (2019) Bergman Spaces with Exponential Weights. Journal of Functional Analysis, 276, 1402-1429.
https://doi.org/10.1016/j.jfa.2018.05.001
[2] Pommerenke, C. (1977) Schlichte Funktionen und analytische Funktionen von beschra¨nkter mittlerer Oszillation. Commentarii Mathematici Helvetici, 52, 591-602.
https://doi.org/10.1007/BF02567392
[3] Li, S. (2008) Volterra Composition Operators between Weighted Bergman Spaces and Bloch Type Spaces. Journal of the Korean Mathematical Society, 45, 229-248.
https://doi.org/10.4134/JKMS.2008.45.1.229
[4] 何忠华, 王晓峰, 刘抽岐. 指数权Bergman空间Aψp和Aψ∞间的Teoplitz算子[J]. 数学学报, 2021,64(4): 655-668.

为你推荐