Compact differences of two weighted composition operators acting from the weighted Bergman space \(A^p_{\omega }\) to another weighted Bergman space \(A^q_{\nu }\), where \(0<p\le q<\infty \) and \(\omega ,\nu \) belong to the class \({\mathcal {D}}\) of radial weights satisfying two-sided doubling conditions, are characterized. On the way to the proof a new description of q-Carleson measures for \(A^p_{\omega }\), with \(\omega \in {\mathcal {D}}\), in terms of pseudohyperbolic discs is established. This last-mentioned result generalizes the well-known characterization of q-Carleson measures for the classical weighted Bergman space \(A^p_{\alpha }\) with \(-1<\alpha <\infty \) to the setting of doubling weights.

从加权Bergman空间\（A ^ p _ {\ omega} \到另一个加权Bergman空间\（A ^ q _ {\ nu} \）作用的两个加权合成算子的紧致差分，其中\（0 <p \ le q表征<\ infty \）和\（\ omega，\ nu \）属于满足双向加倍条件的径向权重的类（{\ mathcal {D}} \）。在证明的路上，用伪双曲圆盘用\（\ omega \ in {\ mathcal {D}} \）对\（A ^ p _ {\ omega} \）的q -Carleson度量的新描述是成立。最后提到的结果概括了q的众所周知的特征-Carleson将经典加权Bergman空间\（A ^ p _ {\ alpha} \）与\（-1 <\ alpha <\ infty \）设置为加倍权重。