Arkiv för Matematik

, Volume 40, Issue 2, pp 383–401 | Cite as

Decomposition theorems forQ p spaces

  • Zhijian Wu
  • Chunping Xie
Article

Abstract

We study the Möbius invariant spacesQ p andQ p, 0 of analytic functions. These scales of spaces include BMOA=Q1, VMOA=Q1, 0 and the Dirichlet space=Q0. Using the Bergman metric, we establish decomposition theorems for these spaces. We obtain also a fractional derivative characterization for bothQ p andQ p, 0 .

Keywords

Analytic Function Decomposition Theorem Dirichlet Space Derivative Characterization 

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Copyright information

© Institut Mittag-Leffler 2002

Authors and Affiliations

  • Zhijian Wu
    • 1
  • Chunping Xie
    • 1
  1. 1.Department of MathematicsUniversity of AlabamaTuscaloosaUSA

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