Random "dyadic" lattice in geometrically doubling metric space and A₂ conjecture
classification
🧮 math.CA
keywords
conjecturedyadiclatticerandomspacedoublingmetricbuild
read the original 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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