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OALib Journal期刊
ISSN: 2333-9721
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Equivalent Norms on Weighted Analytic Lipschitz Spaces
加权解析Lipschitz空间的等价范数

Keywords: Weighted analytic Lipschitz spaces,p-Garsia modules,Bergman-Carteson measures
加权解析Lipschitz空间
,p-Garsia模,Bergman-Carleson测度,指数衰减

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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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