从双倍权Bergman空间Aωp到Bloch型空间的Volterra型积分算子
Volterra Type Operators fromBergman Spaces Aωp with DoublingWeights to the Bloch Type Spaces
DOI: 10.12677/AAM.2021.1010363, PDF, HTML, 下载: 312  浏览: 398  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: Volterra积分复合算子；双倍权Bergman空间；Bloch型空间；有界性；紧性；Volterra Type Integral-Composition Operators； Bergman Spaces with Doubling Weights； Blcoh Type Spaces； Boundedness； Compactness
摘要: 本文研究了从双倍权Bergman空间Aωp到Bloch型空间的Volterra型积分复合算子Tgϕ 和Sgϕ 的有界性和紧性问题，给出了Volterra 型积分复合算子的有界性和紧性刻画。
Abstract: We consider the boundedness and compactness of Volterra type operators from the Bergman spaces Aωp with exponential weights to the Bloch Space. We obtain the characterizations of the boundedness and compactness of Volterra type integral com- position operators.
文章引用：施业成, 王尔敏. 从双倍权Bergman空间Aωp到Bloch型空间的Volterra型积分算子[J]. 应用数学进展, 2021, 10(10): 3446-3455. https://doi.org/10.12677/AAM.2021.1010363

参考文献

[1] Pommerenke, C. (1977) Schlichte Funktionen und analytische Funktionen von beschr¨ankter mittlerer Oszillation. Commentarii Mathematici Helvetici, 52, 591-602.
https://doi.org/10.1007/BF02567392
[2] Li, S. (2008) Volterra Composition Operators between Weighted Bergman Spaces and Bloch Type Spaces. Journal of the Korean Mathematical Society, 45, 229-248.
[3] Pel´aez, J. and R¨atty¨a, J. (2014) Weighted Bergman Spaces Induced by Rapidly Increasing Weights. American Mathematical Society, Providence.
[4] Pel´aez, J. and R¨atty¨a, J. (2015) Embedding Theorems for Bergman Spaces via Harmonic Analysis. Mathematische Annalen, 362, 205-239.

为你推荐