On pointwise domination of Calderon-Zygmund operators by sparse operators

Seminar
Speaker
Prof. A. Lerner, Bar-Ilan University
Date
30/05/2016 - 15:10 - 14:00Add to Calendar 2016-05-30 14:00:00 2016-05-30 15:10:00 On pointwise domination of Calderon-Zygmund operators by sparse operators In this talk we survey several recent results establishing a pointwise domination of Calder\'on-Zygmund  operators by sparse operators defined by $${\mathcal A}_{\mathcal S}f(x)=\sum_{Q\in {\mathcal S}}\Big(\frac{1}{|Q|}\int_Qf\Big)\chi_{Q}(x),$$ where ${\mathcal S}$ is a sparse family of cubes from ${\mathbb R}^n$. In particular, we present a simple proof of M. Lacey's theorem about Calder\'on-Zygmund operators with Dini-continuous kernels in its quantitative form obtained by T. Hyt\"onen-L. Roncal-O. Tapiola. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

In this talk we survey several recent results establishing a pointwise domination of Calder\'on-Zygmund
operators by sparse operators defined by
$${\mathcal A}_{\mathcal S}f(x)=\sum_{Q\in {\mathcal S}}\Big(\frac{1}{|Q|}\int_Qf\Big)\chi_{Q}(x),$$
where ${\mathcal S}$ is a sparse family of cubes from ${\mathbb R}^n$.
In particular, we present a simple proof of M. Lacey's theorem about Calder\'on-Zygmund operators
with Dini-continuous kernels in its quantitative form obtained by T. Hyt\"onen-L. Roncal-O. Tapiola.

תאריך עדכון אחרון : 23/05/2016