Skip to main content
SpringerLink
Log in

Maximal and singular integral operators via Fourier transform estimates

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Calderón, A.P., Zygmund, A.: On singular integrals. Am. J. Math.78, 289–309 (1956)

    Google Scholar 

  2. Calderón, C.: Lacunary spherical means. Ill. J. Math.23, 476–484 (1979)

    Google Scholar 

  3. Chen, L.K.: On a singular integral (Preprint)

  4. Christ, M., Duoandikoetxea, J., Rubio de Francia, J.L.: Maximal operators related to Radon transform and the Calderón-Zygmund method of rotations (To appear in Duke Math. J.)

  5. Coifman, R., Weiss, G.: Analyse harmonique non commutative sur certains espaces homogènes. Lect. Notes Math.242. (1971)

  6. Coifman, R., Weiss, G.: Review of the book Littlewood-Paley and multiplier theory. Bull. Am. Math. Soc.84, 242–250 (1978)

    Google Scholar 

  7. Fefferman, R.: A note on singular integrals. Proc. Am. Math. Soc.74, 266–270 (1979)

    Google Scholar 

  8. García-Cuerva, J., Rubio de Francia, J.L.: Weighted norm inequalities and related topics. Amsterdam: North-Holland: 1985

    Google Scholar 

  9. Greenleaf, A.: Principal curvature and harmonic analysis. Indiana Univ. Math. J.30, 519–537 (1981)

    Google Scholar 

  10. Jawerth, B.: Weighted inequalities for maximal operators: Linearization, localization and factorization (To appear in Am. J. Math.)

  11. Kurtz, D.S.: Littlewood-Paley and multiplier theorems on weightedL p spaces. Trans. Am. Math. Soc.259, 235–254 (1980)

    Google Scholar 

  12. Littman, W.: Fourier transform of surface-carried measures and differentiability of surface averages. Bull. Am. Math. Soc.69, 766–770 (1963)

    Google Scholar 

  13. Nagel, A., Stein, E.M., Wainger, S.: Differentiation in lacunary directions. Proc. Natl. Acad. Sci. USA75, 1060–1062 (1978)

    Google Scholar 

  14. Nagel, A., Wainger, S.: Hilbert transform associated with plane curves. Trans. Am. Math. Soc.223, 235–252 (1976)

    Google Scholar 

  15. Rivière, N.: Singular integrals and multiplier operators. Ark. Mat.9, 243–278 (1971)

    Google Scholar 

  16. Stein, E.M.: Singular integrals and differentiability properties of functions. Princeton N.J.: Princeton University Press 1970

    Google Scholar 

  17. Stein, E.M.: Oscillatory integrals in Fourier analysis (Preprint)

  18. Stein, E.M., Wainger, S.: Problems in harmonic analysis related to curvature. Bull. Am. Math. Soc.84, 1239–1295 (1978)

    Google Scholar 

  19. Weinberg, D.A.: The Hilbert transform and maximal function for approximately homogeneous curves. Trans. Am. Math. Soc.267, 295–306 (1981)

    Google Scholar 

  20. Zygmund, A.: Trigonometric series, I & II. London, New York: Cambridge University Press 1959

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. División de Matemáticas, Universidad Autónoma, E-28049, Madrid, Spain

    Javier Duoandikoetxea & José L. Rubio de Francia

Authors
  1. Javier Duoandikoetxea
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. José L. Rubio de Francia
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by C.A.I.C.Y.T. no. 2805-83

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duoandikoetxea, J., Rubio de Francia, J.L. Maximal and singular integral operators via Fourier transform estimates. Invent Math 84, 541–561 (1986). https://doi.org/10.1007/BF01388746

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01388746

Keywords

Search

Navigation