正规权诱导的 Bergman 空间上的Hankel 算子
Hankel Operators on Bergman Spaces Induced by Regular Weights
DOI: 10.12677/AAM.2022.117471, PDF, HTML, 下载: 197  浏览: 271  国家自然科学基金支持
作者: 王尔敏, 施业成*：岭南师范学院数学与统计学院，广东 湛江
关键词: 加权 Bergman 空间；有界性；Hankel 算子；Weighted Bergman Spaces； Boundedness； Hankel Operators
摘要: 本文主要刻画当 1 < q < p < ∞ 时，由满足一定条件的符号函数所诱导的 Hankel 算子 Hf , Hf-从 Aωp到 LΩq同时有界或紧的特征，其中 ω, Ω 是正规权。
Abstract: Given ω, Ω ∈ R, for 1 < q < p < ∞, we characterize those symbols f for which theinduced Hankel operators Hf , Hf- are both bounded (compact) from weighted Bergman space Aωp to Lebesgue space LΩq .
文章引用：王尔敏, 施业成. 正规权诱导的 Bergman 空间上的Hankel 算子[J]. 应用数学进展, 2022, 11(7): 4443-4450. https://doi.org/10.12677/AAM.2022.117471

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