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Volumn 179, Issue 2, 2007, Pages 185-197

Boundedness for a bilinear model sum operator on ℝn

Author keywords

Bilinear Hilbert transform; Multilinear operators in higher dimensions

Indexed keywords


EID: 34250886269     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm179-2-5     Document Type: Article
Times cited : (1)

References (14)
  • 1
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    • to appear
    • D. Bilyk and L. Grafakos, Distributional estimates for the bilinear Hubert transform, J. Geom. Anal., to appear.
    • J. Geom. Anal
    • Bilyk, D.1    Grafakos, L.2
  • 3
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    • Carleson, L.1
  • 4
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    • Fefferman, C.1
  • 5
    • 14544302607 scopus 로고    scopus 로고
    • Uniform bounds for the bilinear Hilbert transforms. I
    • L. Grafakos and X. C. Li, Uniform bounds for the bilinear Hilbert transforms. I, Ann. of Math. (2) 159 (2004), 889-933.
    • (2004) Ann. of Math. (2) , vol.159 , pp. 889-933
    • Grafakos, L.1    Li, X.C.2
  • 6
    • 0038367921 scopus 로고    scopus 로고
    • Multilinear interpolation between adjoint operators
    • L. Grafakos and T. Tao, Multilinear interpolation between adjoint operators, J. Funct. Anal. 199 (2003), 379-385.
    • (2003) J. Funct. Anal , vol.199 , pp. 379-385
    • Grafakos, L.1    Tao, T.2
  • 8
    • 0013560074 scopus 로고
    • Orthogonal Expansions and their Continuous Analogues Edwardsville, IL, Southern Illinois Univ. Press, Carbondale, IL
    • R. A. Hunt, On the convergence of Fourier series, in: Orthogonal Expansions and their Continuous Analogues (Edwardsville, IL, 1967), Southern Illinois Univ. Press, Carbondale, IL, 1968, 235-255.
    • (1967) On the convergence of Fourier series , pp. 235-255
    • Hunt, R.A.1
  • 9
    • 0038544980 scopus 로고    scopus 로고
    • On the bilinear Hilbert transform
    • M. T. Lacey, On the bilinear Hilbert transform, Doc. Math., 1998, Extra Vol. II, 647-656.
    • Doc. Math., 1998, Extra , vol.2 , pp. 647-656
    • Lacey, M.T.1
  • 11
    • 0033416840 scopus 로고    scopus 로고
    • On Calderón's conjecture
    • _, _, On Calderón's conjecture, Ann. of Math, (2) 149 (1999), 475-496.
    • (1999) Ann. of Math , vol.149 , Issue.2 , pp. 475-496
    • Lacey, M.1    Thiele, C.2
  • 12
    • 0034348701 scopus 로고    scopus 로고
    • A proof of boundedness of the Carleson operator
    • _, _, A proof of boundedness of the Carleson operator, Math. Res. Lett. 7 (2000), 361-370.
    • (2000) Math. Res. Lett , vol.7 , pp. 361-370
    • Lacey, M.1    Thiele, C.2
  • 13
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    • Multi-linear operators given by singular multipliers
    • C. Muscalu, T. Tao, and C. Thiele, Multi-linear operators given by singular multipliers, J. Amer. Math. Soc. 15 (2002), 469-496.
    • (2002) J. Amer. Math. Soc , vol.15 , pp. 469-496
    • Muscalu, C.1    Tao, T.2    Thiele, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.