The non-resonant bilinear Hilbert--Carleson operator

Cristina Benea, Frederic Bernicot, Victor Lie +1

In this paper we introduce the class of bilinear Hilbert--Carleson operators $\{B{C}^a{\}}_{a>0}$ defined by $$ BC^{a}(f,g)(x):= \sup_{λ\in {\mathbb R}} \Big|\int f(x-t)\, g(x+t)\, e^{…