... y)dy,Annals of Mathematics Uniform bounds for the bilinear Hilbert transforms, I By Loukas Grafakos and Xiaochun Li UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I907andΦ1,k,l(·)e−2πic(ω1,k,l)(·)(x)≤ ... C2−ηµ2−µpj|IT|12.Annals of Mathematics, 159 (2004), 889–933Uniform bounds for thebilinear Hilbert transforms, IBy Loukas Grafakos and Xiaochun Li*AbstractIt is shown that the bilinear Hilbert transformsHα,β(f,g)(x) ... integral along Lipschitz curves during the period1965–1995 has provided a formidable impetus and a powerful driving force for significant developments in euclidean harmonic analysis during that...