# A simple proof of the $A_2$ conjecture

Mon, 14/01/2013 - 14:00

Speaker:

Prof. A. Lerner, Bar-Ilan University

Seminar:

Abstract:

The $A_2$ conjecture says that the $L^2(w)$ operator norm

of any Calder\'on-Zygmund operator is bounded linearly by the $A_2$

constant of the weight $w$.

This conjecture was completely solved in 2010 by T. Hyt\"onen.

The proof was based on a rather difficult representation of a general

Calder\'on-Zygmund operator in terms of the Haar shift operators.

In this talk we shall discuss a recent simpler proof completely

avoiding the notion of the Haar shift operator.

- Last modified: 7/01/2013