Compact composition operators on weighted Bergman spaces on bounded symmetric domains

In this article, we borrow the idea of using Schur's test to characterize the compactness of composition operators on the weighted Bergman spaces in a bounded symmetric domain Ω, and verify that Cϕ is compact on Lqa(Ω, dvβ) if and only if as z → ∂Ω under a mild condition, where K(z, w) is the Bergman kernel.