论文标题
邀请Drury-Arveson空间
An invitation to the Drury-Arveson space
论文作者
论文摘要
这是Drury-Arveson空间的三部分小型课程的扩展版本，作为分析功能空间及其应用程序的焦点计划的一部分，该课程由Fields Institute主持并远程持有。 Drury-Arveson空间，也称为对称的Fock空间，是单位光盘上经典耐硬度空间的自然概括，以较高的维度对单位球。它在操作者理论和功能理论中都起着普遍的作用。这些笔记给了Drury-Arveson空间介绍。他们并不是要全面概述整个主题，而是旨在解释Drury-Arveson空间出现并展示该空间的不同方法的某些背景。
This is an extended version of a three part mini course on the Drury-Arveson space given as part of the Focus Program on Analytic Function Spaces and their Applications, hosted by the Fields Institute and held remotely. The Drury-Arveson space, also known as symmetric Fock space, is a natural generalization of the classical Hardy space on the unit disc to the unit ball in higher dimensions. It plays a universal role both in operator theory and in function theory. These notes give an introduction to the Drury-Arveson space. They are not intended to give a comprehensive overview of the entire subject, but rather aim to explain some of the contexts in which the Drury-Arveson space makes an appearance and to showcase the different approaches to this space.
