Sharp maximal function estimates for linear and multilinear pseudo-differential operators
Analysis of PDEs
2024-08-30 v2
Abstract
In this paper, we study pointwise estimates for linear and multilinear pseudo-differential operators with exotic symbols in terms of the Fefferman-Stein sharp maximal function and Hardy-Littlewood type maximal function. Especially in the multilinear case, we use a multi-sublinear variant of the classical Hardy-Littlewood maximal function introduced by Lerner, Ombrosi, P\'erez, Torres, and Trujillo-Gonz\'alez, which provides more elaborate and natural weighted estimates in the multilinear setting.
Cite
@article{arxiv.2310.14275,
title = {Sharp maximal function estimates for linear and multilinear pseudo-differential operators},
author = {Bae Jun Park and Naohito Tomita},
journal= {arXiv preprint arXiv:2310.14275},
year = {2024}
}
Comments
Minor revision. To appear in J. Funct. Anal