English

Dyadic lower little BMO estimates

Classical Analysis and ODEs 2023-02-24 v2

Abstract

We characterize dyadic little BMO via the boundedness of the tensor commutator with a single well chosen dyadic shift. It is shown that several proof strategies work for this problem, both in the unweighted case as well as with Bloom weights. Moreover, we address the flexibility of one of our methods.

Keywords

Cite

@article{arxiv.2012.10201,
  title  = {Dyadic lower little BMO estimates},
  author = {Komla Domelevo and Spyridon Kakaroumpas and Stefanie Petermichl and Odí Soler i Gibert},
  journal= {arXiv preprint arXiv:2012.10201},
  year   = {2023}
}

Comments

17 pages. Minor changes after journal revision for consistency and clarity, to be published in Publicacions Matem\`atiques

R2 v1 2026-06-23T21:04:30.484Z