摘要
本文定义了几个算于,又给出了α阶Carleson测度(α>0)的定义。利用算子理论方面的知识讨论了α阶Carleson测度与这些算子的有界性的紧密关系,这些算子在以后讨论α阶Carleson测度的等价命题时有很重要的作用。
Carleson measures play an important role in the study of analytic functions. Many characteristics of Carleson measures have been obtained. In this paper the author gives the definition of Carleson measure with order α (α>0) and some definition of some operators. Using the theory about operators, the author discusses the relation between Carleson measure with orderα(α≥1) and these bounded operators which are more important in discussing the equivalent proposition of order α for Carleson measure.
