Sangam: A Confluence of Knowledge Streams

Weighted restriction estimates and application to Falconer distance set problem

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dc.creator Du, Xiumin
dc.creator Guth, Larry
dc.creator Ou, Yumeng
dc.creator Wang, Hong
dc.creator Wilson, Bobby
dc.creator Zhang, Ruixiang
dc.date 2021-10-27T19:58:08Z
dc.date 2021-10-27T19:58:08Z
dc.date 2021
dc.date 2021-05-20T14:26:42Z
dc.date.accessioned 2023-03-01T18:08:03Z
dc.date.available 2023-03-01T18:08:03Z
dc.identifier https://hdl.handle.net/1721.1/134108
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/278877
dc.description © 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.
dc.format application/pdf
dc.language en
dc.publisher Project Muse
dc.relation 10.1353/ajm.2021.0005
dc.relation American Journal of Mathematics
dc.rights Creative Commons Attribution-Noncommercial-Share Alike
dc.rights http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.source arXiv
dc.title Weighted restriction estimates and application to Falconer distance set problem
dc.type Article
dc.type http://purl.org/eprint/type/JournalArticle


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