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Sharp Mei's lemma with different bases

2020/09/24 by Theresa C. Anderson, Bingyang Hu, Anderson, Theresa C. +1
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #math.CA

paper · pdf · doi:10.48550/arxiv.2009.11906

16 pages. Based on the framework developed by Anderson and Hu in arXiv:2004.14929

arxiv created 2020/09/24 · openalex publication_date 2020/09/24 · arxiv updated 2020/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a sharp Mei's Lemma with assuming the bases of the underlying general dyadic grids are different. As a byproduct, we specify all the possible cases of adjacent general dyadic systems with different bases. The proofs have connections with certain number-theoretic properties.

Citations

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