English

Equivalence of linear and trilinear Kakeya conjectures in three dimensions

Classical Analysis and ODEs 2025-10-01 v4

Abstract

We prove the equivalence of two Kakeya conjectures: 1.The Kakeya maximal operator conjecture 2.The disjoint trilinear dual form of the Kakeya maximal operator conjecture

Keywords

Cite

@article{arxiv.2506.21315,
  title  = {Equivalence of linear and trilinear Kakeya conjectures in three dimensions},
  author = {Cristian Rios and Eric T. Sawyer},
  journal= {arXiv preprint arXiv:2506.21315},
  year   = {2025}
}

Comments

23 pages. typos corrected