论文标题
蒙特尔型定理,用于全体形态函数的耐寒空间
A Montel-type theorem for Hardy spaces of holomorphic functions
论文作者
论文摘要
我们为无限尺寸空间上的hollomorthic函数的Hardy空间提供了Montel定理的版本。作为副产品,我们为Dirichlet系列的Hardy Space提供了Montel型定理。这种方法还为经典的单变量耐力空间提供了蒙特尔定理的基本证明。
We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. As a by-product, we provide a Montel-type theorem for the Hardy space of Dirichlet series. This approach also gives an elementary proof of Montel theorem for the classical one-variable Hardy spaces.