Đề tài " Uniform bounds for the bilinear Hilbert transforms, I "

It is shown that the bilinear Hilbert transforms Hα,β (f, g)(x) = p.v. R f (x − αt)g(x − βt) dt t map Lp1 (R) × Lp2 (R) → Lp (R) uniformly in the real parameters α, β when 2