A restriction estimate using polynomial partitioning
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.
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| Format: | Article |
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American Mathematical Society (AMS)
2018
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| Online Access: | http://hdl.handle.net/1721.1/115579 https://orcid.org/0000-0002-1302-8657 |
| Summary: | 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. |
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