论文标题
非转换多线性双重性和关节
Non-Transversal Multilinear Duality and Joints
论文作者
论文摘要
我们为一般多线性操作员开发了二元性理论的框架，该框架扩展了横向多线性操作员的框架，该操作员已在Arxiv中建立：1809.02449。我们将其应用于关节和多关点的设置，并获得“分解”定理，该定理在Bourgain和Guth（Arxiv：0811.2251和Arxiv：1012.3760）的离散设置中提供了一个类似物。
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.
