References
[Bol]J. Bourgain, Remarks on Montgomery's conjecture on exponential sums, preprint IHES (1990).
[Bo2]J. Bourgain, On the restriction and multiplier problem in ℝ3, Preprint IHES, M/90/74, to appear in Springer LNM.
[Bo3]J. Bourgain,L p-estimates for oscillatory integrals in several variables, to appear in GAFA.
[Co]A. Cordoba, A note on Bochner-Riesz operators, Duke Math. J. 46, N3 (1979), 565–572.
[CS]L. Carleson, P. Sjölin, Oscillatory integrals and multiplier problem of the disc, Studia Math. 44 (1972), 287–299.
[Fa1]K.J. Falconer, The Geometry of Fractal Sets, Cambridge Tracts in Math. 85.
[Fa2]K.J. Falconer, Sections of setz of zero Lebesgue measure, Mathematika, 27, (YEAR), 90–96.
[Fe1]C. Fefferman, A note on spherical summation multipliers, Israel J. Math., (1973), 44–52.
[Fe2]C. Fefferman, The multiplier problem for the ball, Annals Math. 94 (1971), 330–336.
[He]C. Herz, On the mean inversion of Fourier and Hankel transforms, Proc. Nat. Acad. Sc. USA (1954).
[Ho]L. Hormander, Oscillatory integrals and multipliers onFL P, Arkiv Math. 11 (1973), 1–11.
[Pi]G. Pisier, Factorization of operators throughL p,∞ andL p,1, and noncommutative generalizations, Math. Ann. 276 (1986), 105–136.
[St]E. Stein, Limits of sequences of operators, Annals Math. 74 (1961), 140–170.
[St2]E.M. Stein, Some problems in harmonic analysis, Proc. Symposia in Pure Math. 35, I, 3–20 (AMS publications).
[St3]E. Stein, beijing Lectures in Harmonic Analysis, Princeton University Press, N. 112.
[T]P. Tomas, A restriction theorem for the Fourier transform, Bull. AMS, 81, N2 (1975), 477–478.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bourga'in, J. Besicovitch type maximal operators and applications to fourier analysis. Geometric and Functional Analysis 1, 147–187 (1991). https://doi.org/10.1007/BF01896376
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01896376