| 加权解析Lipschitz空间的等价范数 |
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| 引用本文： | 黄玲娣,陈泽乾. 加权解析Lipschitz空间的等价范数[J]. 数学物理学报(A辑), 2005, 25(5): 663-672 |
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| 作者姓名： | 黄玲娣 陈泽乾 |
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| 作者单位： | [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 |
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| 基金项目： | 国家自然科学基金（10271117） |
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| 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。
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| 关 键 词： | 加权解析Lipschitz空间 p Garsia模 Bergman Carleson测度 指数衰减 |
| 文章编号： | 1003-3998(2005)05-663-10 |
| 收稿时间： | 2004-06-01 |
| 修稿时间： | 2004-06-01 |
Equivalent Norms on Weighted Analytic Lipschitz Spaces |
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| HUANG Ling-Di,CHEN Ze-Qian. Equivalent Norms on Weighted Analytic Lipschitz Spaces[J]. Acta Mathematica Scientia, 2005, 25(5): 663-672 |
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| Authors: | HUANG Ling-Di CHEN Ze-Qian |
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| Affiliation: | 1 Department of Mathematics, Shoxing University, Shanxing 312000;2 Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 |
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| Abstract: | In this paper, the authors first extend Theorem 1 in 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. Firnally, the authors show the associated expondntial decay effect as similar to John-Nirenberg's theorem of BMO spaces. |
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| Keywords: | Weighted analytic Lipschitz spaces p-Garsia modules Bergman-Carteson measures |
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