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...

Full description

Bibliographic Details
Main Authors: Guth, Lawrence, Zahl, Joshua
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Oxford University Press - London Mathematical Society 2018
Online Access:http://hdl.handle.net/1721.1/115562
https://orcid.org/0000-0002-1302-8657
https://orcid.org/0000-0001-5129-8300