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
    • View on Springer
    236 Citations
    Highly Influential Citations
    49
    Background Citations
    82
    Methods Citations
    38
    Results Citations
    6
    236 Citations
    Citation Type

    Citation Type

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    On Kakeya-Nikodym type maximal inequalities
    • 2
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    • 16
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    Maximal functions and the additivity of various families of null sets
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    On plate decompositions of cone multipliers
    • 30
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    Bochner-Riesz means with respect to a rough distance function
    • 13
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    An x-ray estimate in $R^n$
    • 11
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    References

    SHOWING 1-10 OF 11 REFERENCES
    Beijing lectures in harmonic analysis
    • 54
    Factorization of operators throughLp∞ orLp1 and non-commutative generalizations
    • 72
    • PDF
    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
    Oscillatory integrals and multiplier problem for the disc
    • 242
    • PDF
    The Multiplier Problem for the Ball
    • 320
    On the limits of sequences of operators
    • 250