Concrete Estimate Of Essential Norm Of The Composition Operator On The Weighted Bergman Space A_α~P(D)

In this paper, we get the numerical estimate of the essential norm of the composition operator Cψ on the weighted Bergman space Ap/a(D)(a>-1and1≤p<∞) in terms of the generalized Nevanlinna counting function. In particular, when α→-1, we get on the Hardy space Hp (p>1), it holds that|Also if ψ is inner, we have...