A Simple Proof of the A

  title={A Simple Proof of the A},
  author={Andrei K. Lerner},
We give a simple proof of the A2 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.