Abstract
The main purpose of this paper is to prove a good λ inequality for a multilinear singular integral in ℝn.
Similar content being viewed by others
References
R R Coifman, R Rochberg, G Weiss. Factorization theorems for Hardy spaces in several variables. Ann of Math, 1976, 103: 611–635
S Janson. Mean oscillation and commutators of singular integral operators. Ark Math, 1978, 16: 263–270
J Cohen, J Gosselin. A BMO estimate for multilinear singular integrals. Illinois J of Math, 1981, 30: 445–464
B Muckenhoupt, R L Wheeden. Weighted norm inequalities for fractional integrals. Trans Amer Math Soc, 1974, 192: 261–274
S Chanillo. A note on commutators. Indiana Univ Math J, 1982, 31: 7–16
M Paluszyński. Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss. Indiana Univ Math J, 1995, 44: 1–17
R A DeVore, R C Sharpley. Maximal functions measuring smoothness. Mem Amer Math Soc, 1984, 47
Wengu Chen, Shanzhen Lu. On multilinear singular integrals in Rn. Adv in Math, to appear
B Bajsanski, R Coifman. On singular integrals. Proc Sympos Pure Math Amer Math Soc, Providence, R I, 1967, 10: 1–17
Author information
Authors and Affiliations
Corresponding author
Additional information
The research is supported by Beijing Education Commission Foundation and Beijing Natural Science Foundation (Project No. 1982005)
Rights and permissions
About this article
Cite this article
Chen, W. A Besov Estimate for Multilinear Singular Integrals. Acta Math Sinica 16, 613–626 (2000). https://doi.org/10.1007/s101140000059
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s101140000059