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Endpoint Fourier restriction and unrectifiability
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Del Nin, Giacomo and Merlo, Andrea (2022) Endpoint Fourier restriction and unrectifiability. Proceedings of the American Mathematical Society, 150 . pp. 2137-2144. doi:10.1090/proc/15857 ISSN 0002-9939.
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Official URL: http://dx.doi.org/10.1090/proc/15857
Abstract
We show that if a measure of dimension s on Rd admits (p,q) Fourier restriction for some endpoint exponents allowed by its dimension, namely q=sdp′ for some p>1, then it is either absolutely continuous or 1-purely unrectifiable.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | Fourier analysis | |||||||||
| Journal or Publication Title: | Proceedings of the American Mathematical Society | |||||||||
| Publisher: | American Mathematical Society | |||||||||
| ISSN: | 0002-9939 | |||||||||
| Book Title: | Endpoint Fourier restriction and unrectifiability | |||||||||
| Official Date: | 18 February 2022 | |||||||||
| Dates: |
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| Volume: | 150 | |||||||||
| Page Range: | pp. 2137-2144 | |||||||||
| DOI: | 10.1090/proc/15857 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | “First published in Proceedings of the American Mathematical Society in [volume/issue number and year], published by the American Mathematical Society,” and the copyright notice in proper form must be placed on all copies. | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 28 October 2021 | |||||||||
| Date of first compliant Open Access: | 1 November 2021 | |||||||||
| RIOXX Funder/Project Grant: |
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