Off-diagonal sharp two-weight estimates for sparse operators
Classical Analysis and ODEs
2018-01-11 v3
Abstract
For a class of sparse operators including majorants of singular integral, square function, and fractional integral operators in a uniform manner, we prove off-diagonal two-weight estimates of mixed type in the two-weight and -characteristics. These bounds are known to be sharp in many cases; as a new result, we prove their sharpness for fractional square functions.
Cite
@article{arxiv.1711.08274,
title = {Off-diagonal sharp two-weight estimates for sparse operators},
author = {Stephan Fackler and Tuomas P. Hytönen},
journal= {arXiv preprint arXiv:1711.08274},
year = {2018}
}
Comments
15 pages. V3: Intro revised and references added. Several cases of the main theorem, claimed as new in V1 and V2, were already known, as now explained in the intro. This version is published in NYJM