Geodesic
A generalization of Bourgain’s circular maximal theorem
Schlag, W. 1 ,  2
1 Department of Mathematics, 253–37 Caltech, Pasadena, California 91125
2 Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540
Journal of the American Mathematical Society, Tome 10 (1997) no. 1, pp. 103-122 Cet article a éte moissonné depuis la source American Mathematical Society

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DOI : 10.1090/S0894-0347-97-00217-8

Schlag, W.  1 , 2

1 Department of Mathematics, 253–37 Caltech, Pasadena, California 91125
2 Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540 
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Schlag, W. A generalization of Bourgain’s circular maximal theorem. Journal of the American Mathematical Society, Tome 10 (1997) no. 1, pp. 103-122. doi: 10.1090/S0894-0347-97-00217-8

[1] Bourgain, J. Averages in the plane over convex curves and maximal operators J. Analyse Math. 1986 69 85

[2] Bourgain, J. On high-dimensional maximal functions associated to convex bodies Amer. J. Math. 1986 1467 1476

[3] Carleson, Lennart, Sjölin, Per Oscillatory integrals and a multiplier problem for the disc Studia Math. 1972

[4] Marstrand, J. M. Packing circles in the plane Proc. London Math. Soc. (3) 1987 37 58

[5] Mockenhaupt, Gerd, Seeger, Andreas, Sogge, Christopher D. Wave front sets, local smoothing and Bourgain’s circular maximal theorem Ann. of Math. (2) 1992 207 218

[6] Sogge, Christopher D. Propagation of singularities and maximal functions in the plane Invent. Math. 1991 349 376

[7] Sogge, Christopher D. Fourier integrals in classical analysis 1993

[8] Stein, Elias M. Maximal functions. I. Spherical means Proc. Nat. Acad. Sci. U.S.A. 1976 2174 2175

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