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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 R 2 + × R 2 + and the characterization of BMO(R 2 + × R 2 + ) recently obtained by Ferguson, Lacey and Sadosky. 2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B30, 42B25.doi:10.4064/sm177-3-4 fatcat:ghvgrittdvherbflkefhthlrxq