Caiheng Ouyang

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

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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★ 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…