A simple proof of the $A_2$ conjecture

Andrei K. Lerner

doi:10.1093/imrn/rns145

A simple proof of the $A_2$ conjecture

Andrei K. Lerner

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We give a simple proof of the $A_2$ 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.

Original language	English
Pages (from-to)	3159-3170
Number of pages	12
Journal	International Mathematics Research Notices
Volume	2013
Issue number	14
DOIs	https://doi.org/10.1093/imrn/rns145
State	Published - 2013

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10.1093/imrn/rns145

https://doi.org/10.1093/imrn/rns145

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A simple proof of the $A_2$ conjecture

Abstract

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