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...

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Bibliographic Details
Main Authors: Guth, Lawrence (Contributor), Zahl, Joshua (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Oxford University Press - London Mathematical Society, 2018-05-22T18:09:48Z.
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