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arXiv · 1103.5246

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

Alexander Reznikov·Alexander Volberg
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Abstract

Recently three proofs of the $A_2$-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 $A_2$-conjecture in these spaces.

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Alexander Reznikov, Alexander Volberg. 2011-04-21. Random "dyadic" lattice in geometrically doubling metric space and $A_2$ conjecture. https://arxiv.org/abs/1103.5246

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