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arXiv · 2203.02320

Non-Transversal Multilinear Duality and Joints

Anthony Carbery·Michael Chi Yung Tang
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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.

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BibTeXRIS

Anthony Carbery, Michael Chi Yung Tang. 2022-03-04. Non-Transversal Multilinear Duality and Joints. https://arxiv.org/abs/2203.02320

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