Decomposition theorems for Qp spaces

Zhijian Wu; Chunping Xie

doi:10.1007/BF02384542

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Home > Journals > Ark. Mat. > Volume 40 > Issue 2 > Article

October 2002 Decomposition theorems for Q_p spaces

Zhijian Wu, Chunping Xie

Author Affiliations +

Zhijian Wu,¹ Chunping Xie¹
¹Department of Mathematics, University of Alabama

Ark. Mat. 40(2): 383-401 (October 2002). DOI: 10.1007/BF02384542

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Abstract

We study the Möbius invariant spaces Q_p and Q_{p, 0} of analytic functions. These scales of spaces include BMOA=Q₁, VMOA=Q_{1, 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 both Q_p and Q_{p, 0}.