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Volumn 16, Issue 4, 2006, Pages 563-584

Distributional estimates for the bilinear Hilbert transform

Author keywords

distributional estimates; Multilinear operators

Indexed keywords


EID: 84867963104     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02922131     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 0000531215 scopus 로고    scopus 로고
    • Convergence of Fourier series, Proceedings of the XXth Workshop on Function Theory (Moscow 1995)
    • 0919.42004 1407066
    • N.Y. Antonov 1996 Convergence of Fourier series, Proceedings of the XXth Workshop on Function Theory (Moscow 1995) East J. Approx. 2 187 196 0919.42004 1407066
    • (1996) East J. Approx. , vol.2 , pp. 187-196
    • Antonov, N.Y.1
  • 2
    • 0001498106 scopus 로고
    • On convergence and growth of partials sums of Fourier series
    • 0144.06402 10.1007/BF02392815 199631
    • L. Carleson 1966 On convergence and growth of partials sums of Fourier series Acta Math. 116 135 157 0144.06402 10.1007/BF02392815 199631
    • (1966) Acta Math. , vol.116 , pp. 135-157
    • Carleson, L.1
  • 3
    • 0000153472 scopus 로고
    • Pointwise convergence of Fourier series
    • 10.2307/1970917 340926
    • C. Fefferman 1973 Pointwise convergence of Fourier series Ann. of Math. 98 551 571 10.2307/1970917 340926
    • (1973) Ann. of Math. , vol.98 , pp. 551-571
    • Fefferman, C.1
  • 4
    • 3142731537 scopus 로고    scopus 로고
    • Prentice-Hall, Pearson Education Upper Saddle River, NJ 1148.42001
    • Grafakos, L.Classical and Modern Fourier Analysis, Prentice-Hall, Pearson Education, Upper Saddle River, NJ, (2004).
    • (2004) Classical and Modern Fourier Analysis
    • Grafakos, L.1
  • 5
    • 0347746414 scopus 로고    scopus 로고
    • n ) using Gabor frames
    • 0982.42017 10.1007/BF02510419 1817671
    • n ) using Gabor frames J. Fourier Anal. Appl. 7 2 101 126 0982.42017 10.1007/BF02510419 1817671
    • (2001) J. Fourier Anal. Appl. , vol.7 , Issue.2 , pp. 101-126
    • Grafakos, L.1    Lennard, C.2
  • 6
    • 0742323812 scopus 로고    scopus 로고
    • p bounds for a maximal dyadic sum operator
    • 1076.42013 10.1007/s00209-003-0601-4 2031458
    • p bounds for a maximal dyadic sum operator Math. Zeit. 246 321 337 1076.42013 10.1007/s00209-003-0601-4 2031458
    • (2004) Math. Zeit. , vol.246 , pp. 321-337
    • Grafakos, L.1    Tao, T.2    Terwilleger, E.3
  • 7
    • 0038367921 scopus 로고    scopus 로고
    • Multilinear interpolation between adjoint operators
    • 1031.46026 10.1016/S0022-1236(02)00098-8 1971257
    • L. Grafakos T. Tao 2003 Multilinear interpolation between adjoint operators J. Funct. Anal. 199 379 385 1031.46026 10.1016/S0022-1236(02)00098-8 1971257
    • (2003) J. Funct. Anal. , vol.199 , pp. 379-385
    • Grafakos, L.1    Tao, T.2
  • 9
    • 0038544980 scopus 로고    scopus 로고
    • On the bilinear Hilbert transform
    • 1648113
    • M.T. Lacey 1998 On the bilinear Hilbert transform Doc. Math. II 647 656 1648113
    • (1998) Doc. Math. , vol.2 , pp. 647-656
    • Lacey, M.T.1
  • 10
    • 0034344809 scopus 로고    scopus 로고
    • p,p > 2/3
    • 0967.47031 10.2307/121111 1745019
    • p,p > 2/3 Ann. of Math. (2) 151 1 35 57 0967.47031 10.2307/121111 1745019
    • (2000) Ann. of Math. (2) , vol.151 , Issue.1 , pp. 35-57
    • Lacey, M.T.1
  • 11
    • 0001283252 scopus 로고    scopus 로고
    • p bounds for the bilinear Hilbert transform, 2

    • 0914.46034 10.2307/2952458 1491450
    • p bounds for the bilinear Hilbert transform, 2

    • (1997) Ann. of Math. , vol.146 , pp. 693-724
    • Lacey, M.T.1    Thiele, C.M.2
  • 12
    • 0033416840 scopus 로고    scopus 로고
    • On Calderón's conjecture
    • 0934.42012 10.2307/120971 1689336
    • M.T. Lacey C.M. Thiele 1999 On Calderón's conjecture Ann. of Math. 149 475 496 0934.42012 10.2307/120971 1689336
    • (1999) Ann. of Math. , vol.149 , pp. 475-496
    • Lacey, M.T.1    Thiele, C.M.2
  • 13
    • 0034348701 scopus 로고    scopus 로고
    • A proof of boundedness of the Carleson operator
    • 0966.42009 1783613
    • M.T. Lacey C.M. Thiele 2000 A proof of boundedness of the Carleson operator Math. Res. Lett. 7 361 370 0966.42009 1783613
    • (2000) Math. Res. Lett. , vol.7 , pp. 361-370
    • Lacey, M.T.1    Thiele, C.M.2
  • 14
    • 0036004363 scopus 로고    scopus 로고
    • Multi-linear operators given by singular multipliers
    • 0994.42015 10.1090/S0894-0347-01-00379-4 1887641
    • C. Muscalu T. Tao C. Thiele 2002 Multi-linear operators given by singular multipliers J. Amer. Math. Soc. 15 469 496 0994.42015 10.1090/S0894-0347-01- 00379-4 1887641
    • (2002) J. Amer. Math. Soc. , vol.15 , pp. 469-496
    • Muscalu, C.1    Tao, T.2    Thiele, C.3
  • 15
    • 0042913567 scopus 로고    scopus 로고
    • Remarks on a theorem by N. Yu. Antonov
    • 1053.42005 2014553 10.4064/sm158-1-7
    • P. Sjölin F. Soria 2003 Remarks on a theorem by N. Yu. Antonov Studia Math. 158 79 97 1053.42005 2014553 10.4064/sm158-1-7
    • (2003) Studia Math. , vol.158 , pp. 79-97
    • Sjölin, P.1    Soria, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.