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arXiv:1202.2824 [math.CA]AbstractReferencesReviewsResources

A simple proof of the $A_2$ conjecture

Andrei K. Lerner

Published 2012-02-13, updated 2012-05-05Version 3

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.

Comments: v2: some typos corrected v3: final version, accepted to IMRN
Categories: math.CA, math.FA
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