Geodesic
Factorization theorem for product Hardy spaces
Wengu Chen 1   ; Yongsheng Han 2   ; Changxing Miao 3
1 Institute of Applied Physics and Computational Mathematics P.O. Box 8009, Beijing, 100088 People's Republic of China
2 Department of Mathematics Auburn University Auburn, AL 36849-5310, U.S.A.
3 Institute of Applied Physics and Computational Mathematics P.O.8009, Beijing, 100088, People's Republic of China
Studia Mathematica, Tome 177 (2006) no. 3, pp. 235-249 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm177-3-4
Keywords: extend known factorization theorems unit disk product hardy spaces which generalizes previous results obtained coifman rochberg weiss basic tools boundedness certain bilinear form mathbb times mathbb characterization bmo mathbb times mathbb recently obtained ferguson lacey sadosky

Wengu Chen  1   ; Yongsheng Han  2   ; Changxing Miao  3

1 Institute of Applied Physics and Computational Mathematics P.O. Box 8009, Beijing, 100088 People's Republic of China
2 Department of Mathematics Auburn University Auburn, AL 36849-5310, U.S.A.
3 Institute of Applied Physics and Computational Mathematics P.O.8009, Beijing, 100088, People's Republic of China 
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Wengu Chen; Yongsheng Han; Changxing Miao. Factorization theorem for product Hardy spaces. Studia Mathematica, Tome 177 (2006) no. 3, pp. 235-249. doi: 10.4064/sm177-3-4

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