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 |
| _version_ | 1826207686179422208 |
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| author | Guth, Lawrence |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Guth, Lawrence |
| author_sort | Guth, Lawrence |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:53:22Z |
| format | Article |
| id | mit-1721.1/115579 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T13:53:22Z |
| publishDate | 2018 |
| publisher | American Mathematical Society (AMS) |
| record_format | dspace |
| spelling | mit-1721.1/1155792022-10-04T06:20:26Z A restriction estimate using polynomial partitioning Guth, Lawrence Massachusetts Institute of Technology. Department of Mathematics Guth, Lawrence 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. 2018-05-23T13:16:02Z 2018-05-23T13:16:02Z 2015-05 2015-01 2018-05-22T16:20:27Z Article http://purl.org/eprint/type/JournalArticle 0894-0347 1088-6834 http://hdl.handle.net/1721.1/115579 Guth, Larry. “A Restriction Estimate Using Polynomial Partitioning.” Journal of the American Mathematical Society 29, 2 (May 2015): 371–413 © 2015 American Mathematical Society https://orcid.org/0000-0002-1302-8657 http://dx.doi.org/10.1090/JAMS827 Journal of the American Mathematical Society 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. application/pdf American Mathematical Society (AMS) American Mathematical Society |
| spellingShingle | Guth, Lawrence A restriction estimate using polynomial partitioning |
| title | A restriction estimate using polynomial partitioning |
| title_full | A restriction estimate using polynomial partitioning |
| title_fullStr | A restriction estimate using polynomial partitioning |
| title_full_unstemmed | A restriction estimate using polynomial partitioning |
| title_short | A restriction estimate using polynomial partitioning |
| title_sort | restriction estimate using polynomial partitioning |
| url | http://hdl.handle.net/1721.1/115579 https://orcid.org/0000-0002-1302-8657 |
| work_keys_str_mv | AT guthlawrence arestrictionestimateusingpolynomialpartitioning AT guthlawrence restrictionestimateusingpolynomialpartitioning |