English

The A_2 theorem: Remarks and complements

Classical Analysis and ODEs 2012-12-18 v1

Abstract

I give a mini-survey of several approaches to the A2A_2 theorem, biased towards the "corona" rather than the "Bellman" side of the coin. There are two new results (a streamlined form of Lerner's local oscillation formula, and the sharpness of the linear-in-complexity weak (1,1)(1,1) bound for dyadic shifts) and two new proofs of known results (the ApA_p--AA_\infty testing conditions, and the two-weight T1T1 theorem for positive dyadic operators).

Keywords

Cite

@article{arxiv.1212.3840,
  title  = {The A_2 theorem: Remarks and complements},
  author = {Tuomas P. Hytönen},
  journal= {arXiv preprint arXiv:1212.3840},
  year   = {2012}
}

Comments

15 pages, 1 figure; submitted to proceedings of El Escorial 2012

R2 v1 2026-06-21T22:55:18.445Z