Compactness of Iterated Commutators on Weighted Bergman Spaces

摘要

Let φ be a normal function on [0,1], and let A~2(φ) denote the closed subspace of L~2 (φ( consisting of a all analytic functions in the unit disk D. For any normal function φ, a Necessary and sufficient condition for iterated commutators on the weighted Bergman space A~2(φ) to be compact is given in this paper.