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

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

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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