Polynomial Wolff axioms and Kakeya-type estimates in R4
We establish new linear and trilinear bounds for collections of tubes in R4 that satisfy the polynomial Wolff axioms. In brief, a collection of δ-tubes satisfies the Wolff axioms if not too many tubes can be contained in the δ-neighborhood of a plane. A collection of tubes satisfies the polynomial W...
Main Authors: | Guth, Lawrence, Zahl, Joshua |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Published: |
Oxford University Press - London Mathematical Society
2018
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Online Access: | http://hdl.handle.net/1721.1/115562 https://orcid.org/0000-0002-1302-8657 https://orcid.org/0000-0001-5129-8300 |
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