Restriction estimates for some surfaces with vanishing curvatures
Tài liệu tham khảo
Bourgain, 1991, Besicovitch type maximal operators and applications to Fourier analysis, Geom. Funct. Anal., 1, 147, 10.1007/BF01896376
Bourgain, 1995, Estimates for cone multipliers, vol. 77, 41
Greenleaf, 1981, Principal curvature and harmonic analysis, Indiana Univ. Math. J., 30, 519, 10.1512/iumj.1981.30.30043
Lee, 2003, Endpoint estimates for the circular maximal function, Proc. Amer. Math. Soc., 131, 1433, 10.1090/S0002-9939-02-06781-3
Lee, 2006, Bilinear restriction estimates for surfaces with curvatures of different signs, Trans. Amer. Math. Soc., 358, 3511, 10.1090/S0002-9947-05-03796-7
Mockenhaupt, 1993, A note on the cone multiplier, Proc. Amer. Math. Soc., 117, 145, 10.1090/S0002-9939-1993-1098404-6
Strichartz, 1977, Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. J., 44, 705, 10.1215/S0012-7094-77-04430-1
Tao, 2003, A sharp bilinear restriction estimate for paraboloids, Geom. Funct. Anal., 13, 1359, 10.1007/s00039-003-0449-0
Tao, 2000, A bilinear approach to cone multipliers. I. Restriction estimates, Geom. Funct. Anal., 10, 185, 10.1007/s000390050006
Tao, 1998, A bilinear approach to the restriction and Kakeya conjecture, J. Amer. Math. Soc., 11, 967, 10.1090/S0894-0347-98-00278-1
Tomas, 1975, A restriction theorem for the Fourier transform, Bull. Amer. Math. Soc., 81, 477, 10.1090/S0002-9904-1975-13790-6
Vargas, 2005, Restriction theorems for a surface with negative curvature, Math. Z., 249, 97, 10.1007/s00209-004-0691-7
Wolff, 2001, A sharp cone restriction estimate, Ann. of Math., 153, 661, 10.2307/2661365
Barcelo, 1985, On the restriction of the Fourier transform to a conical surface, Trans. Amer. Math. Soc., 292, 321, 10.1090/S0002-9947-1985-0805965-8
Tao, 2000, A bilinear approach to cone multipliers. II. Application, Geom. Funct. Anal., 10, 216, 10.1007/s000390050007