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Abstract In this paper, we completely characterize the boundedness of difference of weighted composition operators between weak and strong vector-valued Bergman spaces in three terms: one is a function theoretic… Click to show full abstract
Abstract In this paper, we completely characterize the boundedness of difference of weighted composition operators between weak and strong vector-valued Bergman spaces in three terms: one is a function theoretic characterization of Julia-Caratheodory type, the second is a power type characterization and the other is a measure theoretic characterization of Carleson type. Furthermore, the bounded difference of composition operators is investigated for corresponding vector-valued Fock space case, which is in sharp contrast with some phenomenon on the setting of vector-valued Bergman space.
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2022
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