利用给出的α阶Carleson测度(α>0)的定义以及算子理论方面的有关知识去研究Carleson测度,刻画了α阶Carleson测度与某些空间的函数之间的紧密关系,得到了用BO函数、BMOA函数等的积分不等式刻画α阶Carleson测度的定理1及推广定理A的推论.%By use of the definition of the Carleson measure with order α(α>0) and some definitions of some operators, the close relationshop between the Carleson measure and some special spaces, such as BO function spaces,and BMOA function spaces, is described.
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