α-Bloch Spaces And Weighted Lipschitz Spaces

There are three parts in this paper. The first part is focus on theintegral characterization ofα-Bloch functions on the unit disc D, and givesa sufficient and necessary condition of a function analytic in D belongingto both Hardy spaces andα-Bloch spaces whenα≥1.In the second part, the weighted Lipschitz spaces on the coplex planeare considered by using Cesaro means.At last, we study the weighted Lipschitz spaces on unit ball in C~n byusing the integral of radial differentiation.