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Some Characterizations for Composition Operators on the Fock Space
Liangying Jiang, Gabriel T. Prajitura, Ruhan Zhao
We study composition operators on the Fock spaces , problems considered include the essential norm, normality, spectra, cyclicity and membership in t…
Commutators of automorphic composition operators with adjoints
Liangying Jiang
In this paper, we investigate the compactness of the commutator on the Hardy space or the weighted Bergman space (), when and…
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 for any real , where induced symbols are automorphisms…
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 or (). This result plays an important role in pr…