Weighted Composition Operator on Hardy Space H~p(B_N)

Let■be a holomorphic self-map of unit ball B_N andψbe a holomorphic function on B_N,defined weighted composition operator W_(■,ψ)f=ψf■,f∈H(B_N).This paper investigates necessary and sufficient conditions of boundedness and compactness of weighted composition operator,and also gives the equivalence of weak compactness and compactness.In last section,the paper studies complete continuousness of operator W_(■,ψ).