科研讨论班

Abstract

Zygmund dilations are a group of dilations lying in between the standard product theory and the one-parameter setting -- in $\mathbb R^3 = \mathbb R \times \mathbb R \times \mathbb R$ they are the dilations $(x_1, x_2, x_3) \mapsto (\delta_1 x_1, \delta_2 x_2, \delta_1 \delta_2 x_3)$. In this talk, I will talk about our recent progress on singular integrals associated with Zygmund dilations.