Random "dyadic" lattice in geometrically doubling metric space and A₂\n conjecture

2011/03/27 by Alexander Reznikov, Alexander Volberg, Reznikov, Alexander +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1103.5246

openalex publication_date 2011/03/27 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

Recently three proofs of the A₂-conjecture were obtained. All of them are\n"glued" to euclidian space and a special choice of one random dyadic lattice.\nWe build a random "dyadic" lattice in any doubling metric space which have\nproperties that are enough to prove the A₂-conjecture in these spaces.\n

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