TL;DR
This paper establishes a unified, sharp inequality that generalizes key results from multilinear Kakeya and discrete Brascamp-Lieb inequalities, advancing the understanding of geometric and harmonic analysis.
Contribution
It introduces a novel, sharp generalization that unifies endpoint multilinear Kakeya and local discrete Brascamp-Lieb inequalities.
Findings
Proved a sharp, unified inequality encompassing Kakeya and Brascamp-Lieb results.
Extended the scope of endpoint multilinear inequalities.
Provided new tools for geometric and harmonic analysis applications.
Abstract
We prove a sharp common generalization of endpoint multilinear Kakeya and local discrete Brascamp-Lieb inequalities.
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