Weighted restriction estimates and application to Falconer distance set problem

© 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 resul...

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Bibliographic Details
Main Authors: Du, Xiumin, Guth, Larry, Ou, Yumeng, Wang, Hong, Wilson, Bobby, Zhang, Ruixiang
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Project Muse 2021
Online Access:https://hdl.handle.net/1721.1/134108