A bilinear approach to cone multipliers I by Tao T., Vargas A.

By Tao T., Vargas A.

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The authors thank the reviewer for many helpful comments. References [B] B. Barcelo, On the restriction of the Fourier transform to a conical surface, Trans. Amer. Math. Soc. 292 (1985), 321–333. ¨ fstrom, Interpolation Spaces, Grund. Math. Wiss. 223 [BeL] J. Bergh, J. Lo Springer–Verlag, 1976. [Bo1] J. Bourgain, Besicovitch-type maximal operators and applications to Fourier analysis, GAFA 1 (1991), 147–187. [Bo2] J. Bourgain, On the restriction and multiplier problem in R3 , Springer Lecture Notes in Mathematics 1469 (1991), 179–191.

Second Edition. M. Stein, Harmonic Analysis, Princeton University Press, 1993. [T] T. Tao, The Bochner-Riesz conjecture implies the Restriction conjecture, Duke Math. , to appear. [TV] T. Tao, A. Vargas, A bilinear approach to cone multipliers II. Applications, GAFA, in this issue. [TVV] T. Tao, A. Vargas, L. Vega, A bilinear approach to the restriction and Kakeya conjectures, J. Amer. Math. Soc. 11 (1998), 967–1000. [To] P. Tomas, A restriction theorem for the Fourier transform, Bull. Amer. Math.

223 [BeL] J. Bergh, J. Lo Springer–Verlag, 1976. [Bo1] J. Bourgain, Besicovitch-type maximal operators and applications to Fourier analysis, GAFA 1 (1991), 147–187. [Bo2] J. Bourgain, On the restriction and multiplier problem in R3 , Springer Lecture Notes in Mathematics 1469 (1991), 179–191. [Bo3] J. Bourgain, A remark on Schrodinger operators, Israel J. Math. 77 (1992), 1–16. [Bo4] J. Bourgain, Estimates for cone multipliers, Operator Theory: Advances and Applications 77 (1995), 41–60. [Bo5] J.

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