A restriction estimate using polynomial partitioning
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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.
Date issued
2015-05Department
Massachusetts Institute of Technology. Department of MathematicsJournal
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
ISSN
0894-0347
1088-6834