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A boundary Schwarz lemma for holomorphic mappings from the polydisc to the unit ball
Yang Liu, Zhihua Chen, Yifei Pan
In this paper, we prove a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any dimensions. For the special case of one complex v…
A boundary Schwarz Lemma for holomorphic mappings between unit balls of different dimensions
Yang Liu, Zhihua Chen, Yifei Pan
In this paper, we give a general boundary Schwarz lemma for holomorphic mappings between unit balls in any dimensions. It is proved that if the mapping at $z_0\in \p…
High-order Green Operators on the Disk and the Polydisc
Yang Liu, Zhihua Chen, Yifei Pan
In this paper, we give the explicit expressions of high-order Green operators on the disk and the polydisc, and hence the kernel functions of high-order Green operators are also pr…
Spectra of linear fractional composition operators on
Liangying Jiang, Zhihua Chen
We characterize the spectra of composition operators on the Hardy space , when the symbols are elliptic or hyperbolic linear fractional self-maps of . Therefore, com…