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Volumn 8, Issue 3, 1998, Pages 606-625

A geometric inequality with applications to the Kakeya problem in three dimensions

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[No Author keywords available]

Indexed keywords


EID: 0032365311     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050068     Document Type: Article
Times cited : (10)

References (14)
  • 2
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    • Bourgain, J.1
  • 3
    • 0000692012 scopus 로고
    • Oscillatory integrals and a multiplier problem for the disk
    • L. CARLESON, P. SJÖLIN, Oscillatory integrals and a multiplier problem for the disk, Studia Math. 44 (1972), 287-299.
    • (1972) Studia Math. , vol.44 , pp. 287-299
    • Carleson, L.1    Sjölin, P.2
  • 4
    • 0001947077 scopus 로고
    • The Kakeya maximal function and spherical summation multipliers
    • A. CÓRDOBA, The Kakeya maximal function and spherical summation multipliers, Amer. J. Math. 99 (1977), 1-22.
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    • Córdoba, A.1
  • 5
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    • A note on Bochner-Riesz operators
    • A. CÓRDOBA, A note on Bochner-Riesz operators, Duke Math. J. 46 (1979), 505-511.
    • (1979) Duke Math. J. , vol.46 , pp. 505-511
    • Córdoba, A.1
  • 6
    • 0003357823 scopus 로고
    • The geometry of fractal sets
    • Cambridge Univ. Press
    • K.J. FALCONER, The Geometry of Fractal Sets, Cambridge Tracts in Math. #85, Cambridge Univ. Press, 1985.
    • (1985) Cambridge Tracts in Math. , vol.85
    • Falconer, K.J.1
  • 7
    • 0010954950 scopus 로고
    • Inequalities for strongly singular convolution operators
    • C. FEFFERMAN, Inequalities for strongly singular convolution operators, Acta Math. 124 (1970), 9-36.
    • (1970) Acta Math. , vol.124 , pp. 9-36
    • Fefferman, C.1
  • 8
    • 0000803776 scopus 로고
    • The multiplier problem for the ball
    • C. FEFFERMAN, The multiplier problem for the ball, Annals of Math 94 (1972), 137-193.
    • (1972) Annals of Math , vol.94 , pp. 137-193
    • Fefferman, C.1
  • 9
    • 51249187555 scopus 로고
    • A note on spherical summation multipliers
    • C. FEFFERMAN, A note on spherical summation multipliers, Israel J. Math. 15 (1973), 44-52.
    • (1973) Israel J. Math. , vol.15 , pp. 44-52
    • Fefferman, C.1
  • 10
    • 0038019236 scopus 로고    scopus 로고
    • On some variants of the Kakeya problem
    • to appear
    • L. KOLASA, T. WOLFF, On some variants of the Kakeya problem, Pac. J. Math., to appear.
    • Pac. J. Math.
    • Kolasa, L.1    Wolff, T.2
  • 11
    • 0031540071 scopus 로고    scopus 로고
    • A generalization of Bourgain's circular maximal function
    • W. SCHLAG, A generalization of Bourgain's circular maximal function, J. Amer. Math. Soc. 10:1 (1997), 103-122.
    • (1997) J. Amer. Math. Soc. , vol.10 , Issue.1 , pp. 103-122
    • Schlag, W.1
  • 13
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    • An improved bound for Kakeya type maximal functions
    • T. WOLFF, An improved bound for Kakeya type maximal functions, Rev. Mat. Iberoamericana 11:3 (1995), 651-674.
    • (1995) Rev. Mat. Iberoamericana , vol.11 , Issue.3 , pp. 651-674
    • Wolff, T.1
  • 14
    • 0039976817 scopus 로고    scopus 로고
    • A Kakeya type problem for circles
    • to appear
    • T. WOLFF, A Kakeya type problem for circles, Amer. J. Math., to appear.
    • Amer. J. Math.
    • Wolff, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.