Duke Mathematical Journal

A note on Bochner-Riesz operators

A. Córdoba

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Article information

Source
Duke Math. J., Volume 46, Number 3 (1979), 505-511.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1077313571

Digital Object Identifier
doi:10.1215/S0012-7094-79-04625-8

Mathematical Reviews number (MathSciNet)
MR544242

Zentralblatt MATH identifier
0438.42013

Subjects
Primary: 42B15: Multipliers
Secondary: 42B25: Maximal functions, Littlewood-Paley theory

Citation

Córdoba, A. A note on Bochner-Riesz operators. Duke Math. J. 46 (1979), no. 3, 505--511. doi:10.1215/S0012-7094-79-04625-8. https://projecteuclid.org/euclid.dmj/1077313571


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References

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  • [2] A. Córdoba, The Kakeya maximal function and the spherical summation multipliers, Amer. J. Math. 99 (1977), no. 1, 1–22.
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    JSTOR: links.jstor.org
  • [3] A. Córdoba, The multiplier problem for the polygon, Annals of Math. 105 (1977), 581–588.
    Zentralblatt MATH: 0361.42005
  • [4] C. Fefferman, A note on spherical summation multipliers, Israel J. Math. 15 (1973), 44–52.
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    Mathematical Reviews (MathSciNet): MR44:7280
    Zentralblatt MATH: 0207.13501
  • [6] A. Córdoba and R. Fefferman, On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis, Proc. Nat. Acad. Sci. U.S.A. 74 (1977), no. 2, 423–425.
    Mathematical Reviews (MathSciNet): MR55:6096
    Zentralblatt MATH: 0342.42003
    Digital Object Identifier: doi:10.1073/pnas.74.2.423
    JSTOR: links.jstor.org
  • [7] A. Nagel, E. Stein, and S. Wainger, Differentiation in lacunary directions, to appear.
    Mathematical Reviews (MathSciNet): MR466470
    Digital Object Identifier: doi:10.1073/pnas.75.3.1060

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