A restriction estimate using polynomial partitioning

If S \mathbb{R}^3 is the corresponding extension operator, then we prove that for all p > 3.25 . The proof uses polynomial partitioning arguments from incidence geometry.

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Bibliographic Details
Published in:Journal of the American Mathematical Society 2016-04, Vol.29 (2), p.371-413
Main Author: Guth, Larry
Format: Article
Language:English
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Summary:If S \mathbb{R}^3 is the corresponding extension operator, then we prove that for all p > 3.25 . The proof uses polynomial partitioning arguments from incidence geometry.
ISSN:0894-0347
1088-6834
DOI:10.1090/jams827