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数学物理学报(A辑) 2005
Equivalent Norms on Weighted Analytic Lipschitz Spaces
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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.