Difference of composition operators between weighted Bergman spaces on the unit ball

Abstract: We obtain some estimates for norm and essential norm of the difference of two composition operators between weighted Bergman spaces $A^p_\alpha$ and $A^q_\beta$ on the unit ball. In particular, we completely characterize the boundedness and compactness of $C_\varphi-C_\psi: A^p_\alpha\to A^q_\beta$ for full range $0<p,q<\infty$, $-1<\alpha,\beta<\infty$.