Bloch函数的伪曲测度特征

近年来的发展表明,Bloch函数、Bloch空间与数学的其它分支有着广泛而密切的联系,对它们的研究也日益引起人们的兴趣。类比单位园上的Carleson测度(它在H~p.BMOA等函数类的研究中扮演重要的角色,见1]2]等),我们研究单位园上的一种伪双曲测度,并发现它能恰当的刻画Bloch函数的特征。

Pseudo-hyperbolic Measure Characteristics of Bloch Function

Recent development shows that Bloch function and Bloch space are closely related to other branches of mathemaics, which holds peoples interest to them, It is found that Carleson measure of the analogue unit circle plays a key role in the research of functions such as Hp, BMOA, etc. and the pseudo-hyperbolic measure of the unit circle can describe rightfully the characteristics of the Bloch function.