New bounds for Stein's square functions in higher dimensions
Classical Analysis and ODEs
2021-09-15 v2 Analysis of PDEs
Abstract
We improve the bounds on Stein's square function to the best-known range of the Fourier restriction problem when . Applications including certain local smoothing estimates are also discussed.
Cite
@article{arxiv.2108.11567,
title = {New bounds for Stein's square functions in higher dimensions},
author = {Shengwen Gan and Changkeun Oh and Shukun Wu},
journal= {arXiv preprint arXiv:2108.11567},
year = {2021}
}
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