论文标题
在Bloch和Hardy类型空间上的组成操作员的特征
Characterizations of composition operators on Bloch and Hardy type spaces
论文作者
论文摘要
本文的主要目的是研究Bloch和Hardy类型空间上组成算子的表征。最初，我们使用一般的加倍权重来研究 单位光盘上的谐波bloch类型空间$ \ mathbb {d} $ 在Euclidean单元球上pluriharmonic Hardy空间$ \ MATHBB {B}^n $。此外，我们开发了一些新方法，以$ \ mathbb {d} $上的谐波bloch类型空间研究构图运算符，以$ \ mathbb {d} $上的pluriharmonic bloch类型。 此外，将提出对要边界或紧凑型的Pluriharmonic Lipschitz类型空间之间组成算子的新特征的应用。本文获得的结果提供了相应已知结果的改进和扩展。
The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general doubling weights to study the composition operators from harmonic Bloch type spaces on the unit disc $\mathbb{D}$ to pluriharmonic Hardy spaces on the Euclidean unit ball $\mathbb{B}^n$. Furthermore, we develop some new methods to study the composition operators from harmonic Bloch type spaces on $\mathbb{D}$ to pluriharmonic Bloch type spaces on $\mathbb{D}$. Additionally, some application to new characterizations of the composition operators between pluriharmonic Lipschitz type spaces to be bounded or compact will be presented. The obtained results of this paper provide the improvements and extensions of the corresponding known results.
