A simple proof of the A2A_2 conjecture

preprint2012arXivOpen access

Abstract

We give a simple proof of the A2A_2 conjecture proved recently by T. Hytönen. 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.

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