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Linear combinations of composition operators on \(H^{\infty }\) spaces over the unit ball and polydisk
Journal of Inequalities and Applications ( IF 1.6 ) Pub Date : 2021-03-19 , DOI: 10.1186/s13660-021-02582-2
Xingxing Yao

In this paper, we characterize completely the compactness of linear combinations of composition operators acting on the space $H^{\infty }(\mathbb{B}_{N})$ of bounded holomorphic functions over the unit ball $\mathbb{B}_{N}$ from two different aspects. The same problems are also investigated on the space $H^{\infty }(\mathbb{D}^{N})$ over the unit polydisk $\mathbb{D}^{N}$ .

中文翻译:

单位球和多圆盘上\(H ^ {\ infty} \)空间上的合成算子的线性组合

在本文中,我们完全刻画了作用于单位球$ \ mathbb {上的有界全纯函数的空间$ H ^ {\ infty}(\ mathbb {B} _ {N})$上的合成算子的线性组合的紧致性B} _ {N} $来自两个不同方面。还在单位polydisk $ \ mathbb {D} ^ {N} $上的空间$ H ^ {\ infty}(\ mathbb {D} ^ {N})$上研究了相同的问题。
更新日期:2021-03-19
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