单位圆上α—Bloch函数的几个特征

Some Characterization of the α-Bloch Function on the Unit Disk

本文将熟知的单位圆上的Bloch函数进行加权拓广,研究一类带权的Bloch函数,即α—Bloch函数,给出了α—Bloch函数的一个渐近特征;并利用α—Bloch函数的性质,得到了通常的Bloch函数的两个新的等价描述,即复合高阶导数特征和伪双曲测度特征.

This paper disusses weghted Blooh space, i.e. a-Bloch space B, where We present one asymptolic characterizat ion of α-Bloch functions. In addition two new charactert ion of the customary Bloch fu nctions is deseribedby nature of α-Bloch functions.