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 ℝ²₊ × ℝ²₊ and the characterization of BMO(ℝ²₊ × ℝ²₊) recently obtained by Ferguson, Lacey and Sadosky.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-3-4, author = {Wengu Chen and Yongsheng Han and Changxing Miao}, title = {Factorization theorem for product Hardy spaces}, journal = {Studia Mathematica}, volume = {173}, year = {2006}, pages = {235-249}, zbl = {1133.42039}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-3-4} }
Wengu Chen; Yongsheng Han; Changxing Miao. Factorization theorem for product Hardy spaces. Studia Mathematica, Tome 173 (2006) pp. 235-249. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-3-4/