... T.ThusUNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I 901identifying trees with sets of pairs of integers, we will use this identificationthroughout.Therefore, if (k, n, l) ∈ T , we can write ... Calder´on.1. Introduction The study of the Cauchy integral along Lipschitz curves during the period1965–1995 has provided a formidable impetus and a powerful driving force for significant developments in ... partially supported by the NSF.UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I 917Therefore, we obtain I 132≤ C2−ηµ2−µpj |I T|12.By an argument similar to that used for the...