Factorization theorem for product Hardy spaces

• Autorzy: Wengu Chen , Yongsheng Han , Changxing Miao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 3
• Strony: 235-249

Daty

wydano

2006

Twórcy

autor

Wengu Chen

• Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, People's Republic of China

autor

Yongsheng Han

• Department of Mathematics, Auburn University, Auburn, AL 36849-5310, U.S.A.

autor

Changxing Miao

• Institute of Applied Physics and Computational Mathematics, P.O.8009, Beijing, 100088, People's Republic of China

Identyfikatory

DOI

10.4064/sm177-3-4