The Dirichlet space: a survey
The Dirichlet space: a survey
复制标题
狄利克雷空间：一项调查
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
B. Wick
中科院分区：
文献类型：
--
作者：
N. Arcozzi;R. Rochberg;E. Sawyer;B. Wick
本文综述了解析函数的狄利克雷空间的许多结果。我们关注的更多的是圆盘上的经典狄利克雷空间，而不是其他领域或几个变量的潜在推广。此外，我们主要关注Dirichlet空间的某些函数的- oretic性质，而忽略了该空间与算子理论之间的有趣联系。本文讨论的结果显示了狄利克雷空间的已知情况，并将其与哈迪空间的相关结果进行了比较。
In this paper we survey many results on the Dirichlet space of analytic functions. Our focus is more on the classical Dirichlet space on the disc and not the potential generalizations to other domains or several variables. Additionally, we focus mainly on certain function the- oretic properties of the Dirichlet space and omit covering the interesting connections between this space and operator theory. The results dis- cussed in this survey show what is known about the Dirichlet space and compares it with the related results for the Hardy space.