Skip to main content
Log in

A Besov Estimate for Multilinear Singular Integrals

  • ORIGINAL ARTICLES
  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

The main purpose of this paper is to prove a good λ inequality for a multilinear singular integral in ℝn.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R R Coifman, R Rochberg, G Weiss. Factorization theorems for Hardy spaces in several variables. Ann of Math, 1976, 103: 611–635

    Article  MathSciNet  Google Scholar 

  2. S Janson. Mean oscillation and commutators of singular integral operators. Ark Math, 1978, 16: 263–270

    Article  MATH  MathSciNet  Google Scholar 

  3. J Cohen, J Gosselin. A BMO estimate for multilinear singular integrals. Illinois J of Math, 1981, 30: 445–464

    Google Scholar 

  4. B Muckenhoupt, R L Wheeden. Weighted norm inequalities for fractional integrals. Trans Amer Math Soc, 1974, 192: 261–274

    Article  MATH  MathSciNet  Google Scholar 

  5. S Chanillo. A note on commutators. Indiana Univ Math J, 1982, 31: 7–16

    Article  MATH  MathSciNet  Google Scholar 

  6. M Paluszyński. Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss. Indiana Univ Math J, 1995, 44: 1–17

    MathSciNet  Google Scholar 

  7. R A DeVore, R C Sharpley. Maximal functions measuring smoothness. Mem Amer Math Soc, 1984, 47

  8. Wengu Chen, Shanzhen Lu. On multilinear singular integrals in Rn. Adv in Math, to appear

  9. B Bajsanski, R Coifman. On singular integrals. Proc Sympos Pure Math Amer Math Soc, Providence, R I, 1967, 10: 1–17

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wengu Chen.

Additional information

The research is supported by Beijing Education Commission Foundation and Beijing Natural Science Foundation (Project No. 1982005)

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s101140000059

Keywords

1991 MR Subject Classification

Navigation