Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (3): 416-426.

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Decomposition Theorems for F(p,q,s) Spaces on the Unit Ball of Cn

Zhao Yang, Peng Ru   

  1. Department of Mathematics, Wuhan University of Technology, Wuhan 430070
  • Received:2016-09-12 Revised:2017-01-15 Online:2017-06-26 Published:2017-06-26
  • Supported by:

    Supported by the NSFC (11601400) and the Fundamental Research Funds for the Central Universities (2017IB012, 2017IVB064)

Abstract:

This paper is devoted to studying the decomposition of functions of F(p,q,s) spaces in the unit ball of Cn, which contain many classical function spaces, such as Bloch space, BMOA space and Qs spaces. By means of s-Carleson measure and Schur's Theorem, we characterize the decomposition theorems for F(p,q,s) spaces in the unit ball of Cn for the case of 1 < p < ∞.

Key words: Unit ball, F(p,q,s) spaces, Decomposition, Carleson measure

CLC Number: 

  • O174.56
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