Two Weight Inequalities for Discrete Positive Operators
Classical Analysis and ODEs
2010-11-29 v4
Abstract
We characterize two weight inequalities for general positive dyadic operators. We consider both weak and strong type inequalities, and general (p,q) mapping properties. Special cases include Sawyers Fractional Integral operator results from 1988, and the bilinear embedding inequality of Nazarov-Treil-Volberg from 1999. The method of proof is an extension of Sawyer's argument.
Cite
@article{arxiv.0911.3437,
title = {Two Weight Inequalities for Discrete Positive Operators},
author = {Michael T. Lacey and Eric T. Sawyer and Ignacio Uriarte-Tuero},
journal= {arXiv preprint arXiv:0911.3437},
year = {2010}
}
Comments
20 pages, 3 figures. v2 correction of minor typos v3: Correction of typos. v4: Two references added