A simple proof of the $A_2$ conjecture
Classical Analysis and ODEs
2012-05-08 v3 Functional Analysis
Abstract
We give a simple proof of the conjecture proved recently by T. Hyt\"onen. Our proof avoids completely the notion of the Haar shift operator, and it is based only on the "local mean oscillation decomposition". Also our proof yields a simple proof of the "two-weight conjecture" as well.
Cite
@article{arxiv.1202.2824,
title = {A simple proof of the $A_2$ conjecture},
author = {Andrei K. Lerner},
journal= {arXiv preprint arXiv:1202.2824},
year = {2012}
}
Comments
v2: some typos corrected v3: final version, accepted to IMRN