Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 663-672.

• Articles • Previous Articles     Next Articles

Equivalent Norms on Weighted Analytic Lipschitz Spaces

 HUANG Ling-Di, CHEN Ze-Qian   

  • Online:2005-10-25 Published:2005-10-25
  • Supported by:

    国家自然科学基金(10271117)

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

CLC Number: 

  • 32A37
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