# On pointwise domination of Calderon-Zygmund operators by sparse operators

Mon, 30/05/2016 - 14:00

Speaker:

Prof. A. Lerner, Bar-Ilan University

Seminar:

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.

- Last modified: 23/05/2016