1 citations · 3 across the 8 of their papers we have counts for
8 papers
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…
A variant of Hörmander's theorem for Dirac operator in Clifford analysis
Yang Liu, Zhihua Chen, Yifei Pan
In this paper, we give the Hörmander's theorem for Dirac operator over an open subset with Clifford algebra. Some sufficient condition on the existence of the…
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…
General Sobolev Inequality on Riemannian Manifold
Qihua Ruan, Zhihua Chen
Let M be a complete n-dimensional Riemannian manifold, if the sobolev inqualities hold on M, then the geodesic ball has maximal volume growth; if the Ricci curvature of M is nonneg…