Sharp weighted bounds without testing or extrapolation
Classical Analysis and ODEs
2012-11-16 v2 Functional Analysis
Abstract
We give a short proof of the sharp weighted bound for sparse operators that holds for all , . By recent developments this implies the bounds hold for any Calder\'on-Zygmund operator. The novelty of our approach is that we avoid two techniques that are present in other proofs: two weight inequalities and extrapolation. Our techniques are applicable to fractional integral operators as well.
Cite
@article{arxiv.1210.4207,
title = {Sharp weighted bounds without testing or extrapolation},
author = {Kabe Moen},
journal= {arXiv preprint arXiv:1210.4207},
year = {2012}
}
Comments
Minor errors corrected. Final version