English

Random "dyadic" lattice in geometrically doubling metric space and $A_2$ conjecture

Classical Analysis and ODEs 2011-04-22 v2

Abstract

Recently three proofs of the A2A_2-conjecture were obtained. All of them are "glued" to euclidian space and a special choice of one random dyadic lattice. We build a random "dyadic" lattice in any doubling metric space which have properties that are enough to prove the A2A_2-conjecture in these spaces.

Keywords

Cite

@article{arxiv.1103.5246,
  title  = {Random "dyadic" lattice in geometrically doubling metric space and $A_2$ conjecture},
  author = {Alexander Reznikov and Alexander Volberg},
  journal= {arXiv preprint arXiv:1103.5246},
  year   = {2011}
}