A kakeya-type problem for circles

American Journal of Mathematics

Volumn 119, Issue 5, 1997, Pages 985-1026

  Wolff, Thomas ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001007308     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1997.0034     Document Type: Article

References (9)

1. J. Bourgam, Besicovitch type maximal operators and applications to Fourier analysis, Geom. Funct. Anal. 1 (1990), 147-187.
2. K. L. Clarkson, New applications of random sampling in computational geometry, Discrete Comput. Geom. 2 (1987), 195-222.
3. K. L. Clarkson, H. Edelsbrunner, L. J. Guibas, M. Sharir, and E. Welzl, Combinatorial complexity bounds for arrangements of curves and spheres, Discrete Comput. Geom. 5 (1990), 99-160.
4. L. Kolasa and T. Wolff, On some variants of the Kakeya problem, Pacific J. Math. (to appear).
5. J. M. Marstrand, Packing circles in the plane, Proc. London Math. Soc. 55 (1987), 37-58.
6. H. Pecher, Nonlinear small data scattering for the wave and Klein-Gordon equations, Math. Z. 185 (1984), 261-270.
7. W. Schlag, A generalization of Bourgain's circular maximal theorem, preprint, 1995.
8. W. Schlag and C. Sogge, Local smoothing estimates related to the circular maximal theorem, preprint, 1996.
9. M. Sharir and P. Agarwal, Davenport-Schinzel Sequences and their Geometric Applications, Cambridge University Press, 1995.