| QK空间上紧的复合算子的性质 |
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| 引用本文： | 杨鎏. QK空间上紧的复合算子的性质[J]. 南京大学学报(自然科学版), 2017, 0(1): 43-50. DOI: 10.3969/j.issn.0469-5097.2017.01.04 |
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| 作者姓名： | 杨鎏 |
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| 作者单位： | 陕西学前师范学院数学系,西安,710100 |
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| 摘 要： | 本文研究了QK空间上紧的复合算子Qφ的两个性质.论文给出了如果在D上的符号函数φ的上确界小于1,则Cφ在QK空间上是紧的.还限定了在φ为某些条件下,Cφ在QK空间与Bloch空间上的紧性是等价的.
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| 关 键 词： | 复合算子 QK空间 Bloch空间 |
PROPERTIES OF COMPACT COMPOSITION OPERATORS ON QK SPACES |
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| Abstract: | In this paper,we give two properties of compact composition operators Cφ on QK spaces.We show that if the supremum of the symbol function φ on D is less than one,then Cφ is compact on QK spaces.We also give a sufficient condition of φ to show that the compactness of Cφ on QK spaces is equivalent to the compactness of Cφ on the Bloch space. |
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| Keywords: | composition operators QK spaces,the Bloch space |
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