Non-Transversal Multilinear Duality and Joints

Autor:	Carbery, Anthony, Tang, Michael Chi Yung
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs Mathematics - Combinatorics Mathematics - Metric Geometry 46A20 47H60 47N99 42Bxx 52C99
Druh dokumentu:	Working Paper
Popis:	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. Comment: 19 pages, references updated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.02320 Zobrazit plný text záznamu View this record from Arxiv