Liangying Jiang

activity

20102021

most citedCompact Differences of Composition Operators on Holomorphic Function Spaces in the Unit Ball

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.CV2021

Big Hankel operators on Hardy spaces of strongly pseudoconvex domains

Bo-Yong Chen, Liangying Jiang

In this article, we investigate the (big) Hankel operators $H_{f}$ on Hardy spaces of strongly pseudoconvex domains with smooth boundaries in $C^{n}$ . We also give a necessary…

math.CV2016

Some Characterizations for Composition Operators on the Fock Space

Liangying Jiang, Gabriel T. Prajitura, Ruhan Zhao

We study composition operators on the Fock spaces $F_{α}^{2} (C^{n})$ , problems considered include the essential norm, normality, spectra, cyclicity and membership in t…

math.CV2014

Commutators of automorphic composition operators with adjoints

Liangying Jiang

In this paper, we investigate the compactness of the commutator $[C_{ψ}^{*}, C_{φ}]$ on the Hardy space $H^{2} (B_{N})$ or the weighted Bergman space $A_{s}^{2} (B_{N})$ ( $s > - 1$ ), when $φ$ and…

math.CV2014

Essential Normality of automorphic composition operators

Liangying Jiang, Caiheng Ouyang, Ruhan Zhao

We first characterize those composition operators that are essentially normal on the weighted Bergman space $A_{s}^{2} (D)$ for any real $s > - 1$ , where induced symbols are automorphisms…

math.CV2010

Spectra of linear fractional composition operators on $H^{2} (B_{N})$

Liangying Jiang, Zhihua Chen

We characterize the spectra of composition operators on the Hardy space $H^{2} (B_{N})$ , when the symbols are elliptic or hyperbolic linear fractional self-maps of $B_{N}$ . Therefore, com…

math.CV2010★ 1 cited

Compact Differences of Composition Operators on Holomorphic Function Spaces in the Unit Ball

Liangying Jiang, Caiheng Ouyang

We find a lower bound for the essential norm of the difference of two composition operators acting on $H^{2} (B_{N})$ or $A_{s}^{2} (B_{N})$ ( $s > - 1$ ). This result plays an important role in pr…