Skip to main content
Log in

Weighted weak type estimates involving spaces generated by blocks

  • Published:
Approximation Theory and its Applications

Abstract

The problem studied in this paper is how to establish weighted estimates of weak type near L1 for those operators that are not of weak type (1,1).

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. Garcia-Cuerva, J. and Rubio de Francia, J. L., Weighted Norm Inequalities and Related Topica, North Holland Math. Studies, 116, Elsevier Science Publishers, Amsterdam (1985), pp.1–604.

    Google Scholar 

  2. Lu, S. Z., Taibleson, M. H. and Weiss, Guido, Spaces Generated by Blocks, Math. Series, Beijing Normal Univ. Press, Beijing (1989).

    Google Scholar 

  3. Meyer, Y, Taibleson, M. H. and Weiss, Guido, Some Functional Analytic Properties of the spaces Bq Generated by Blocks, Ind.U. Math. J., 34 (1985) pp. 493–515.

    Article  MATH  MathSciNet  Google Scholar 

  4. Soria, F. and Weiss, Guido, A Remark on Singular Integrals and Power Weights, Preprint.

  5. Stein, E. M., Note on Singular Integrals, Proc. A. M. S. 8(1957), pp.250–4.

    Article  MATH  Google Scholar 

  6. Stein, E. M. and Weiss, Guido, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton (1971), pp.1–294.

    MATH  Google Scholar 

  7. Taibleson, M. H. and Weiss, Guido, Certain Spaces Associated with a. e. Convergence of Fourier Series, Vol. 1, Univ. of Chicago Conf. in Honor of A. Zygmund, Wardsworth Publ. (1983) pp.95–113.

Download references

Author information

Authors and Affiliations

Authors

Additional information

The first author is supported by the NSFC (Tian Yuan) and the second is supported by NSF grant DMS-9007491.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shanzhen, L., Weiss, G. Weighted weak type estimates involving spaces generated by blocks. Approx. Theory & its Appl. 10, 58–64 (1994). https://doi.org/10.1007/BF02836299

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02836299

Keywords

Navigation