关键词: 加权解析Lipschitz空间, p Garsia模, Bergman Carleson测度, 指数衰减

Abstract:

In this paper, the authors first extend Theorem 1 in [3] and obtain the characterization of weighted analytic Lipschitz functions in terms of p Garsia modules. Secondly, the authors characterize them by using higher derivatives and Bergman Carleson measures, respectively. Finally, the authors show the associated expondntial decay effect as similar to John Niren berg's theorem of BMO spaces.

Key words: Weighted analytic Lipschitz spaces;p Garsia modules, Bergman Carteson measures