加权解析Lipschitz空间的等价范数  

Equivalent Norms on Weighted Analytic Lipschitz Spaces

作　　者：黄玲娣[1] 陈泽乾[2] 

机构地区：[1]绍兴文理学院数学系,绍兴312000 [2]中国科学院武汉物理与数学研究所,武汉430071

出　　处：《数学物理学报（A辑）》2005年第5期663-672,共10页Acta Mathematica Scientia

基　　金：国家自然科学基金(10271117)

摘　　要：该文研究单位圆盘上加权解析Lipschitz空间的等价范数.作者首先推广文献[3]中的结果,给出了加权解析Lipschitz函数的p-Garsia模刻画,然后用高阶导数刻画了加权解析Lipschitz函数,并给出了它的Bergman-Carleson测度特征.最后,还得到了加权解析Lipschitz函数类似于BMO指数衰减的John-Nirenberg定理.In this paper, the authors first extend Theorem 1 in [3] and obtain the charac- terization 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. Firnally, the authors show the associated expondntial decay effect as similar to John-Nirenberg＇s theorem of BMO spaces.

关 键 词：加权解析Lipschitz空间 p-Garsia模 Bergman-Carleson测度 指数衰减 

分 类 号：O174[理学—数学]