Invited by Prof. Sibei Yang and Prof. Jun Gen from School of Mathematics and Statistics, Prof. Xiangxing Tao from Zhejiang University of Science & Technology will give a lecture online.

Title：Endpoint estimates for commutators of the rough singular integral operators

Time：3:30 p.m.,Nov.5th, 2021

Conference ID:553 768 579( Tencent Conference)

Abstract:Let $\Omega$ be homogeneous of degree zero and have mean value zero on the unit sphere $\mathbb{S}^{d−1}$, $T_\Omega$ be the homogeneous singular integral operator with kernel $\Omega(x)/{|x|^d}$ and $T_{\Omega,b}$ be the commutator of $T_\Omega$ with symbol b. By establishing suitable sparse dominations, we show that, for $b \in BMO(\mathbb{R}^d)$, $T_{\Omega,b}$ satisfies some weighted weak type endpoint estimate of $L(\log L)$ type when $\Omega\in L^q(\mathbb{S}^{d−1})$ with q > 1, even if $\Omega\in L(\log L)^2(\mathbb{S}^{d-1})$.