A+ CATEGORY SCIENTIFIC UNIT

Factorization theorem for product Hardy spaces

Volume 177 / 2006

Wengu Chen, Yongsheng Han, Changxing Miao Studia Mathematica 177 (2006), 235-249 MSC: Primary 42B20; Secondary 42B30, 42B25. DOI: 10.4064/sm177-3-4

Abstract

We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ${\mathbb R}^2_+\times{\mathbb R}^2_+$ and the characterization of ${\rm BMO}({\mathbb R}^2_+\times{\mathbb R}^2_+)$ recently obtained by Ferguson, Lacey and Sadosky.

Authors

  • Wengu ChenInstitute of Applied Physics
    and Computational Mathematics
    P.O. Box 8009, Beijing, 100088
    People's Republic of China
    e-mail
  • Yongsheng HanDepartment of Mathematics
    Auburn University
    Auburn, AL 36849-5310, U.S.A.
    e-mail
  • Changxing MiaoInstitute of Applied Physics
    and Computational Mathematics
    P.O.8009, Beijing, 100088, People's Republic of China
    e-mail

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