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math.FA2026
Compactness of composition operator on weighted Bergman spaces of the polydisc
Anne Dorval
We study composition operators induced by a smooth symbol between weighted Bergman spaces of the polydisc. We first prove a compactness criterion that only requires knowing what ha…
math.FA2026
Composition operators on weighted Bergman spaces of the polydisc
Frédéric Bayart, Anne Dorval
We study composition operators between weighted Bergman spaces of the polydisc induced by smooth symbols. We prove a general result of continuity which only involves the behaviour…