A Kakeya maximal estimate for regulus strips
Year: 2026
Type: article
Abstract: We prove Kakeya-type estimates for regulus strips. As a result, we obtain another epsilon improvement over the Kakeya conjecture in \mathbb{R}^{3} , by showing that the regulus strips in the \textup{SL}_{2} example are essentially disjoint. We also establish an L^{p} inequality regarding a Nikodym-type maximal function in the first Heisenberg group.
DOI: 10.4171/rmi/1651
Author: Shukun Wu
Institution: Indiana University Bloomington
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404396461