English

Two-Weight Tb Theorems for Well-Localized Operators

Classical Analysis and ODEs 2019-06-11 v1

Abstract

This paper first defines operators that are "well-localized" with respect to a pair of accretive functions and establishes a global two-weight Tb theorem for such operators. Then it defines operators that are "well-localized" with respect to a pair of accretive systems and establishes a local two-weight Tb theorem for them. The proofs combine recent Tb proof techniques with arguments used to prove earlier T1 theorems for well-localized operators.

Keywords

Cite

@article{arxiv.1906.03372,
  title  = {Two-Weight Tb Theorems for Well-Localized Operators},
  author = {Kelly Bickel and Taneli Korhonen and Brett D. Wick},
  journal= {arXiv preprint arXiv:1906.03372},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-23T09:47:35.570Z