Besicovitch type maximal operators and applications to fourier analysis

@article{Bourgain1991BesicovitchTM,
  title={Besicovitch type maximal operators and applications to fourier analysis},
  author={J. Bourgain},
  journal={Geometric & Functional Analysis GAFA},
  year={1991},
  volume={1},
  pages={147-187}
}
  • J. Bourgain
  • Published 1991
  • Mathematics
  • Geometric & Functional Analysis GAFA
  • 236 Citations
    Geometric control of oscillatory integrals
    • 5
    • Highly Influenced
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    IMPROVING THE RANGE OF p IN THE EXTENSION CONJECTURE FOR THE SPHERE, AND IN THE KAKEYA MAXIMAL CONJECTURE
    • Highly Influenced
    • PDF
    Localized $L^p$-estimates for eigenfunctions: II
    • 2
    • Highly Influenced
    • PDF
    Improved critical eigenfunction estimates on manifolds of nonpositive curvature
    • 13
    • Highly Influenced
    • PDF
    On Kakeya-Nikodym type maximal inequalities
    • 2
    • Highly Influenced
    • PDF
    Finite field restriction estimates based on Kakeya maximal operator estimates
    • 16
    • Highly Influenced
    • PDF
    Maximal functions and the additivity of various families of null sets
    • Highly Influenced
    • PDF
    On plate decompositions of cone multipliers
    • 30
    • Highly Influenced
    • PDF
    Bochner-Riesz means with respect to a rough distance function
    • 13
    • Highly Influenced
    • PDF
    An x-ray estimate in $R^n$
    • 11
    • Highly Influenced
    • PDF

    References

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    Beijing lectures in harmonic analysis
    • 54
    Sections of Sets of zero Lebesgue measure
    • 11
    A note on Bochner-Riesz operators
    • 81
    A restriction theorem for the Fourier transform
    • 261
    • PDF
    A note on spherical summation multipliers
    • 199
    Oscillatory integrals and multipliers onFLp
    • 206
    The Multiplier Problem for the Ball
    • 320
    On the limits of sequences of operators
    • 250