In this paper, some characterizations for the compact difference of composition operators on weighted Bergman spaces \(A^p_\omega \) with doubling weights are given, which extend Moorhouse’s characterization for the difference of composition operators on the weighted Bergman space \(A^2_\alpha \).

中文翻译：

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具有加倍权重的加权Bergman空间上合成算子的差

本文给出了加倍权重的加权Bergman空间\（A ^ p_ \ omega \）上的合成算子的紧致差分的一些刻画，扩展了Moorhouse对加权Bergman空间\（A ^ 2_ \ alpha \）。