Rough averages of triangular Hilbert transforms

by Prof. Lenka Slavíková (Charles University)

Friday Jul 24, 2026, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60, Seminarraum 0.011 (Mathezentrum)

Abstract:

The triangular Hilbert transform is a well-known object of multilinear harmonic analysis whose boundedness remains an open problem. In this talk, we will focus on a bilinear singular integral operator obtained by taking rough averages of certain directional variants of the triangular Hilbert transform. This operator can be interpreted as the twisted paraproduct with a rough homogeneous kernel. We establish a range of $L^{p_1} \times L^{p_2} \rightarrow L^p$ bounds for this operator. This is a joint work with Fred Lin.