论文标题
Bloch和Hardy类型空间上的组成操作员
Composition operators on Bloch and Hardy type spaces
论文作者
论文摘要
本文的主要目的是讨论耐寒类型的空间，Bloch类型的空间和复杂值谐波函数的组成操作员。我们首先对Bloch型空间中的复合价值谐波功能的Lipschitz连续性进行了尖锐的估计，相对于伪hyperbolic度量，这为开放问题提供了答案。然后将研究Bloch和Hardy类型空间上的一些组成操作员。获得的结果改善并扩展了一些相应的已知结果。
The main purpose of this paper is to discuss Hardy type spaces, Bloch type spaces and the composition operators of complex-valued harmonic functions. We first establish a sharp estimate of the Lipschitz continuity of complex-valued harmonic functions in Bloch type spaces with respect to the pseudo-hyperbolic metric, which gives an answer to an open problem. Then some classes of composition operators on Bloch and Hardy type spaces will be investigated. The obtained results improve and extend some corresponding known results.
