order boundedness and essential norm of generalized weighted composition operators on Bergman spaces with doubling weights
Zuoling Liu
TL;DR
This paper characterizes the order boundedness and estimates the essential norm of generalized weighted composition operators on Bergman spaces with doubling weights, advancing understanding of their boundedness and norm behavior.
Contribution
It provides new characterizations and estimates for the essential norm of these operators on weighted Bergman spaces with doubling weights.
Findings
Characterization of order boundedness of operators
Estimation of essential norm using reduce order method
Application to weighted Bergman spaces with doubling weights
Abstract
In this paper, the order boundedness and essential norm of generalized weighted composition operators on Bergman spaces with doubling weights are characterized. Specially, we estimate the essential norm of these operators on weighted Bergman spaces by using the reduce order method.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Topics in Algebra