Non-Transversal Multilinear Duality and Joints
Functional Analysis
2022-04-11 v2 Classical Analysis and ODEs
Combinatorics
Metric Geometry
Abstract
We develop a framework for a duality theory for general multilinear operators which extends that for transversal multilinear operators which has been established in arXiv:1809.02449. We apply it to the setting of joints and multijoints, and obtain a "factorisation" theorem which provides an analogue in the discrete setting of results of Bourgain and Guth (arXiv:0811.2251 and arXiv:1012.3760) from the Euclidean setting.
Keywords
Cite
@article{arxiv.2203.02320,
title = {Non-Transversal Multilinear Duality and Joints},
author = {Anthony Carbery and Michael Chi Yung Tang},
journal= {arXiv preprint arXiv:2203.02320},
year = {2022}
}
Comments
19 pages, references updated