A restriction estimate using polynomial partitioning
Name
S0894-0347-2015-00827-X.pdf
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507.46 KB
Format
Adobe PDF
Checksum (MD5)
d0f0bc4ec76c2795cd85105fedb015fa
Author(s)
Guth, Lawrence
Date Issued
May 2015
Journal
Journal of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Guth, Larry. “A Restriction Estimate Using Polynomial Partitioning.” Journal of the American Mathematical Society 29, 2 (May 2015): 371–413 © 2015 American Mathematical Society
Version
Final published version
Abstract
If S is a smooth compact surface in ℝ[superscript 3] with strictly positive second fundamental form, and E [subscript S] is the corresponding extension operator, then we prove that for all [Formula presented]. The proof uses polynomial partitioning arguments from incidence geometry.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/JAMS827
