Composition operator between normal weight Dirichlet type space and Bloch type space

Abstract

Let μ be a normal function on and p>0. Suppose φ is a holomorphic self-map on the unit ball B of . In this paper, the authors characterize the conditions such that the composition operator is bounded or compact from the normal weight Dirichlet type space to the normal weight Bloch type space when n>1, where (). Moreover, the authors give a simple sufficient and necessary condition such that is compact from to for some special cases.