Some remarks on the maximally modulated Calder\'on-Zygmund operator satisfying $L^r$-H\"ormander condition
Analysis of PDEs
2020-03-17 v2
Abstract
In this work, by recent work of Lerner and Ombrasi (J. Geom. Anal. 30(1): 1011-1027, 2020), we show a maximally modulated singular integral operator which its kernel satisfying - H\"ormander condition can be dominated by sparse operators. Also, the local exponential decay estimates for these operators are obtained.
Keywords
Cite
@article{arxiv.2003.04782,
title = {Some remarks on the maximally modulated Calder\'on-Zygmund operator satisfying $L^r$-H\"ormander condition},
author = {Arash Ghorbanalizadeh and Sajjad Hasanvandi},
journal= {arXiv preprint arXiv:2003.04782},
year = {2020}
}
Comments
11 pages