Uniform bounds for the bilinear Hilbert transforms, I

Annals of Mathematics

Volumn 159, Issue 3, 2004, Pages 889-933

  Grafakos, Loukas ^a   Li, Xiaochun ^b  

^a UNIVERSITY OF MISSOURI   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14544302607     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2004.159.889     Document Type: Article

References (11)

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6. R. A. HUNT, On the convergence of Fourier series, in Orthogonal Expansions and their Continuous Analogues (Proc. Conf., Edwardsville, IL, 1967) Southern Illinois Univ. Press, Carbondale IL, 235-255, 1968.
7. p estimates on the bilinear Hilbert transform for 2 < p < ∞, Ann. of Math. 146 (1997), 693-724.
8. _, On Calderón's conjecture, Ann. of Math. 149 (1999), 475-496.
9. X. LI, Uniform bounds for the bilinear Hilbert transforms. II, preprint.
10. C. M. THIELE, On the bilinear Hilbert transform, Habilitationsschrift, Universität Kiel, 1998.
11. _, A uniform estimate, Ann. of Math. 156 (2002), 519-563.