非横向多重线性对偶与关节

IF 1.3 2区数学 Q1 MATHEMATICS Revista Matematica Iberoamericana Pub Date : 2022-03-04 DOI:10.4171/rmi/1402

A. Carbery, M. Tang

{"title":"非横向多重线性对偶与关节","authors":"A. Carbery, M. Tang","doi":"10.4171/rmi/1402","DOIUrl":null,"url":null,"abstract":". We develop a framework for a duality theory for general multilin- ear operators which extends that for transversal multilinear operators which has been established in [4]. 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 ([7] and [2]) from the Euclidean setting.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Non-transversal multilinear duality and joints\",\"authors\":\"A. Carbery, M. Tang\",\"doi\":\"10.4171/rmi/1402\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We develop a framework for a duality theory for general multilin- ear operators which extends that for transversal multilinear operators which has been established in [4]. 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 ([7] and [2]) from the Euclidean setting.\",\"PeriodicalId\":49604,\"journal\":{\"name\":\"Revista Matematica Iberoamericana\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2022-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Matematica Iberoamericana\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/rmi/1402\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Matematica Iberoamericana","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/rmi/1402","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

.我们为一般多线性算子的对偶理论开发了一个框架，该框架扩展了[4]中建立的横向多线性算子。我们将其应用于关节和多关节的设置，并获得一个“因子分解”定理，该定理在Bourgain和Guth（[7]和[2]）的结果的离散设置中从欧几里得设置提供了类似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Non-transversal multilinear duality and joints

. We develop a framework for a duality theory for general multilin- ear operators which extends that for transversal multilinear operators which has been established in [4]. 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 ([7] and [2]) from the Euclidean setting.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Revista Matematica Iberoamericana 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.

期刊最新文献

The Poincaré problem for reducible curves Mordell–Weil groups and automorphism groups of elliptic $K3$ surfaces A four-dimensional cousin of the Segre cubic Sharp Hardy–Sobolev–Maz’ya, Adams and Hardy–Adams inequalities on quaternionic hyperbolic spaces and on the Cayley hyperbolic plane Jet spaces over Carnot groups