Skip to main content
Log in

A characterization of productBMO by commutators

  • Published:
Acta Mathematica

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.

References

  1. Chang, S.-Y. A. &Fefferman, R., Some recent developments in Fourier analysis andH p-theory on product domains.Bull. Amer. Math. Soc. (N.S.), 12 (1985), 1–43.

    Article  MathSciNet  MATH  Google Scholar 

  2. Coifman, R. R., Rochberg, R. &Weiss, G., Factorization theorems for Hardy spaces in several variables.Ann. of Math. (2), 103 (1976), 611–635.

    Article  MathSciNet  Google Scholar 

  3. Fefferman, R., Bounded mean oscillation on the polydisk.Ann. of Math. (2), 110 (1979), 395–406.

    Article  MATH  MathSciNet  Google Scholar 

  4. Ferguson, S. H. &Sadosky, C., Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures.J. Anal. Math., 81 (2000), 239–267.

    Article  MathSciNet  MATH  Google Scholar 

  5. Gundy, R. F., &Stein, E. M.,H p theory for the poly-disc.Proc. Nat. Acad. Sci. U.S.A., 76 (1979), 1026–1029.

    MathSciNet  MATH  Google Scholar 

  6. Journé, J.-L., A covering lemma for product spaces.Proc. Amer. Math. Soc., 96 (1986), 593–598.

    Article  MATH  MathSciNet  Google Scholar 

  7. Meyer, Y.,Wavelets and Operators. Translated from the 1990 French original by D. H. Salinger. Cambridge Stud. Adv. Math., 37. Cambridge Univ. Press, Cambridge, 1992.

    MATH  Google Scholar 

  8. Nehari, Z., On bounded bilinear forms.Ann. of Math. (2), 65 (1957), 153–162.

    Article  MATH  MathSciNet  Google Scholar 

  9. Pipher, J. Journé's covering lemma and its extension to higher dimensions.Duke Math. J., 53 (1986), 683–690.

    Article  MATH  MathSciNet  Google Scholar 

  10. Stein, E. M. &Weiss, G.,Introduction to Fourier Analysis on Euclidean Spaces. Princeton Math. Ser., 32. Princeton Univ. Press, Princeton, NJ, 1971.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The first author was supported by NSF Grant DMS-0071514, while the second author was supported by NSF Grant DMS-9706884.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ferguson, S.H., Lacey, M.T. A characterization of productBMO by commutators. Acta Math. 189, 143–160 (2002). https://doi.org/10.1007/BF02392840

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392840

Navigation