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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of the American Mathematical Society
American Mathematical Society (AMS)
Guth, Larry. “A Restriction Estimate Using Polynomial Partitioning.” Journal of the American Mathematical Society 29, 2 (May 2015): 371–413 © 2015 American Mathematical Society
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