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Volumn 11, Issue 4, 2001, Pages 773-806

An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension

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EID: 0035621331     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001685     Document Type: Article
Times cited : (21)

References (14)
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    • Some new estimates on oscillatory integrals
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  • 3
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    • On the dimension of Kakeya sets and related maximal inequalities
    • J. BOURGAIN, On the dimension of Kakeya sets and related maximal inequalities, GAFA 9 (1999), 256-282.
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  • 4
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    • A new proof of szemerédi's theorem for arithmetic progressions of length four
    • T. GOWERS, A new proof of Szemerédi's theorem for arithmetic progressions of length four, GAFA 8 (1998), 529-551.
    • (1998) GAFA , vol.8 , pp. 529-551
    • Gowers, T.1
  • 5
    • 0033235846 scopus 로고    scopus 로고
    • Bounds on arithmetic projections, and applications to the Kakeya conjecture
    • N. KATZ, T. TAO, Bounds on arithmetic projections, and applications to the Kakeya conjecture, Math. Res. Letters 6 (1999), 625-630.
    • (1999) Math. Res. Letters , vol.6 , pp. 625-630
    • Katz, N.1    Tao, T.2
  • 8
    • 0001020064 scopus 로고
    • Mapping properties of the radon transform
    • D. OBERLIN, E. STEIN, Mapping properties of the Radon transform, Indiana U. Math. J. 31 (1982), 641-650.
    • (1982) Indiana U. Math. J. , vol.31 , pp. 641-650
    • Oberlin, D.1    Stein, E.2
  • 9
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    • A geometric inequality with applications to the Kakeya problem in three dimensions
    • W. SCHLAG, A geometric inequality with applications to the Kakeya problem in three dimensions, GAFA 8 (1998), 606-625.
    • (1998) GAFA , vol.8 , pp. 606-625
    • Schlag, W.1
  • 10
    • 0032343059 scopus 로고    scopus 로고
    • A bilinear approach to the restriction and Kakeya conjectures
    • T. TAO, A. VARGAS, L. VEGA, A bilinear approach to the restriction and Kakeya conjectures, J. Amer. Math. Soc. 11 (1998), 967-1000.
    • (1998) J. Amer. Math. Soc. , vol.11 , pp. 967-1000
    • Tao, T.1    Vargas, A.2    Vega, L.3
  • 11
    • 21844498188 scopus 로고
    • An improved bound for Kakeya type maximal functions
    • T. WOLFF, An improved bound for Kakeya type maximal functions, Revista Mat. Iberoamericana 11 (1995), 651-674.
    • (1995) Revista Mat. Iberoamericana , vol.11 , pp. 651-674
    • Wolff, T.1
  • 12
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    • A mixed norm estimate for the x-ray transform
    • T. WOLFF, A mixed norm estimate for the x-ray transform, Revista Mat. Iberoamericana 14 (1998), 561-601.
    • (1998) Revista Mat. Iberoamericana , vol.14 , pp. 561-601
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  • 13
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    • Recent work connected with the Kakeya problem
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    • T. WOLFF, Recent work connected with the Kakeya problem, Prospects in Mathematics (Princeton, NJ, 1996), Amer. Math. Soc., Providence, RI, (1999), 129-162.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.