The A_p-A_infty inequality for general Calderon--Zygmund operators
Classical Analysis and ODEs
2011-06-24 v1
Abstract
Let T be an arbitrary L^2 bounded Calderon--Zygmund operator, and T_# its maximal truncated version. Then T_# satisfies the following bound for all 1<p<\infty and all weights w\in A_p: \|T_# \|_{L^p(w)} << [w]_{A_p}^{1/p} {[w]_{A_infty}^{1/p'}+[w^{1-p'}]_{A_infty}^{1/p}}.
Keywords
Cite
@article{arxiv.1106.4797,
title = {The A_p-A_infty inequality for general Calderon--Zygmund operators},
author = {Tuomas P. Hyt"onen and Michael T. Lacey},
journal= {arXiv preprint arXiv:1106.4797},
year = {2011}
}
Comments
10 pages