Weighted restriction estimates and application to Falconer distance set problem
Name
1802.10186.pdf
Description
Submitted version
Size
361.53 KB
Format
Adobe PDF
Checksum (MD5)
5d6151fd9cfa8d47a396447ffe32efac
Author(s)
Du, Xiumin
Guth, Larry
Ou, Yumeng
Wang, Hong
Wilson, Bobby
Zhang, Ruixiang
Date Issued
2021
Journal
American Journal of Mathematics
Publisher
Project Muse
Version
Original manuscript
Abstract
© 2021 by Johns Hopkins University Press. We prove some weighted Fourier restriction estimates using polynomial partitioning and refined Strichartz estimates. As application we obtain improved spherical average decay rates of the Fourier transform of fractal measures, and therefore improve the results for the Falconer distance set conjecture in three and higher dimensions.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1353/ajm.2021.0005
