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Averages in the plane over convex curves and maximal operators

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References

  1. J. Bourgain,On the spherical maximal function in the plane, preprint IHES, June 1985.

  2. J. Bourgain,High dimensional maximal functions associated to convex bodies, Am. J. Math., to appear.

  3. C. Herz,Fourier transforms of convex bodies, Ann. Math.75 (1962), 81–92.

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  4. E. Stein and S. Wainger, Bull. Am. Math. Soc.84 (1978), 1239–1295.

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Authors and Affiliations

  1. I.H.E.S., Bures-sur-Yvette, France

    J. Bourgain

  2. University of Illinois, Urbana, Illinois, USA

    J. Bourgain

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  1. J. Bourgain
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Bourgain, J. Averages in the plane over convex curves and maximal operators. J. Anal. Math. 47, 69–85 (1986). https://doi.org/10.1007/BF02792533

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  • DOI: https://doi.org/10.1007/BF02792533

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