English

Sharp Mei's lemma with different bases

Classical Analysis and ODEs 2020-09-28 v1

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.

Cite

@article{arxiv.2009.11906,
  title  = {Sharp Mei's lemma with different bases},
  author = {Theresa C. Anderson and Bingyang Hu},
  journal= {arXiv preprint arXiv:2009.11906},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T18:46:42.444Z