α-Bloch空间到β-Bloch空间的广义积分算子的差分
Differences of Generalized Integration Operators from α-Bloch Spaces to β-Bloch Spaces
DOI: 10.12677/PM.2021.1112229, PDF, HTML, 下载: 328  浏览: 496  国家自然科学基金支持
作者: 何忠华：广东金融学院金融数学与统计学院，广东 广州
关键词: 差分；广义积分算子；Bloch空间；Differences； Generalized Integration Operator； Bloch Space
摘要: 设φ,g是复平面ℂ中单位圆盘D上的解析映射，且φ(D)⊂D,n∈ ℕ。定义广义积分算子为本文旨在探究α-Bloch空间到β-Bloch空间上的广义积分算子差的有界性和紧性问题。
Abstract: A generalized integration operator is defined by induced by holomorphic maps g and φ of the unit disk D, where φ(D)⊂D and n is a positive integer. In this paper, we investigate the boundedness and the compactness of the differences of two generalized integration operators from α-Bloch spaces to β-Bloch spaces.
文章引用：何忠华. α-Bloch空间到β-Bloch空间的广义积分算子的差分[J]. 理论数学, 2021, 11(12): 2057-2068. https://doi.org/10.12677/PM.2021.1112229

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