COMPACTNESS OF COMPOSITION OPERATORS ON BMOA
COMPACTNESS OF COMPOSITION OPERATORS ON BMOA
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DOI：
10.1090/s0002-9939-99-04856-x
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发表时间：
1999-04
期刊：
影响因子：
--
通讯作者：
W. Smith
中科院分区：
文献类型：
--
作者：
W. Smith
给出了当复合算子在BMOA上是紧的时，单位圆盘上的解析函数空间具有在单位圆上有界平均振荡的径向极限的一个函数论刻画.当复合算子的符号为单叶时，证明了BMOA上的紧性等价于Bloch空间上的紧性，并给出了算子符号下圆盘像几何的刻画.？
A function theoretic characterization is given of when a composition operator is compact on BMOA, the space of analytic functions on the unit disk having radial limits that are of bounded mean oscillation on the unit circle. When the symbol of the composition operator is univalent, compactness on BMOA is shown to be equivalent to compactness on the Bloch space, and a characterization in terms of the geometry of the image of the disk under the symbol of the operator results. ?