2022/03/04 by Anthony Carbery, Carbery, Anthony, Michael Chi Yung Tang +1
Computer Science · Mathematics · #42Bxx #46A20 #47H60 #47N99 #52C99 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.2203.02320
openalex publication_date 2022/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.