$L^p$ estimates of the maximal Schr\"odinger operator in $\mathbb R^n$
Classical Analysis and ODEs
2024-11-08 v2 Analysis of PDEs
Abstract
We obtain estimates of the maximal Schr\"odinger operator in using polynomial partitioning, bilinear refined Strichartz estimates, and weighted restriction estimates.
Keywords
Cite
@article{arxiv.2404.10958,
title = {$L^p$ estimates of the maximal Schr\"odinger operator in $\mathbb R^n$},
author = {Xiumin Du and Jianhui Li},
journal= {arXiv preprint arXiv:2404.10958},
year = {2024}
}
Comments
Accepted by Journal of Functional Analysis in Nov 2024; incorporated referee's comments