Skip to main content
Log in

Singular integral operators generated by wavelet transforms

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

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. Calderón, A.P., and Zygmund, A.,On singular integrals, Amer. J. Math., 18, 1956, pp. 289–309.

    Google Scholar 

  2. Connett, W.C.,Singular integrals near L 1, Proc. Symposia Pure Math., vol. 35, (Stephen Wainger and Guido Weiss, eds.), A.M.S., 1979, pp. 163–165.

  3. Coifman, R.R., and Weiss, G.,Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83, 1977, pp. 569–645.

    Google Scholar 

  4. Colzani, L.,Hardy spaces on unit spheres, Boll. U. M. I., Analisi Funzionale e Applicazioni, Serie VI, Vol. IV-C.N.1-1985, pp. 219–244.

    Google Scholar 

  5. Frazier, M., Jawerth, B., and Weiss, G.,Littlewood-Paley theory and the study of function spaces, CBMS Reg. Conf. Ser. in Math. no. 79, Amer. Math. Soc., Providence, R.I., 1991.

    Google Scholar 

  6. Fisher, M.J.,Singular Integral Operators over a Hilbert space, Trans. Amer. Math. Soc. 131, 1968, pp. 437–465.

    Google Scholar 

  7. Fisher, M.J.,Singular integrals on Hilbert space Bull. Amer. Math. Soc. 73, 1967, pp. 428–431.

    Google Scholar 

  8. Grafakos, L., and Stefanov, A.,Convolution Calderón-Zygmund singular integral operators with rough kernels, in: Analysis of Divergence: Control and Management of Divergent Processes, Birkhauser, eds: W. O. Bray, C. V. Stanojevic, (to appear).

  9. Grafakos, L., and Stefanov, A.,L P bounds for singular integrals and maximal singular integrals with rough kernels, 1998, Indiana Univ. J. of Math., to appear.

  10. Ricci, F., and Weiss, G.,A characterization of H 1 (∑n-1), Proc. Symposia Pure Math., vol. 35, (Stephen Wainger and Guido Weiss, eds.), A.M.S., 1979, pp. 289–294.

  11. Rubin, B.,Fractional integrals and potentials, Addison Wesley Longman, Essex, U.K., 1996.

    Google Scholar 

  12. Rubin, B.The Calderón reproducing formula, windowed X-ray transforms and Radon transforms in L p-spaces, The Journal of Fourier Anal. and Appl., 4, 1998, pp. 175–197.

    Google Scholar 

  13. Saeki, S.,On the reproducing formula of Calderón, The Journal of Fourier Anal. and Appl. 2, 1995, pp. 15–28.

    Google Scholar 

  14. Stefanov, A.,Characterizations of H 1 and applications to singular integrals, 1997, submitted.

  15. Stein, E.M.,Harmonic analysis, real variable methods, orthogonality, and oscillation integrals, Princeton Univ. Press, Princeton, N.J., 1993.

    Google Scholar 

  16. Stein, E.M., and Weiss, G.,Introduction to Fourier analysis in euclidean spaces, Princeton Univ. Press, Princeton, N.J., 1971.

    Google Scholar 

  17. Watson, D. K.,The hardy space kernel condition for rough singular integrals 1994, to appear.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by the Edmund Landau Center for Research in Mathematical Analysis and Related Areas, sponsored by the Minerva Foundation (Germany).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ryabogin, D., Rubin, B. Singular integral operators generated by wavelet transforms. Integr equ oper theory 35, 105–117 (1999). https://doi.org/10.1007/BF01225531

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01225531

MSC 1991

Navigation