A pointwise estimate for positive dyadic shifts and some applications
Classical Analysis and ODEs
2016-05-25 v1
Abstract
We prove a pointwise estimate for positive dyadic shifts of complexity which is linear in the complexity. This can be used to give a pointwise estimate for Calder\'on-Zygmund operators and to answer a question posed by A. Lerner. Several applications to weighted estimates for both multilinear Calder\'on-Zygmund operators and square functions are discussed.
Cite
@article{arxiv.1409.4351,
title = {A pointwise estimate for positive dyadic shifts and some applications},
author = {Jose M. Conde-Alonso and Guillermo Rey},
journal= {arXiv preprint arXiv:1409.4351},
year = {2016}
}