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摘要: |
利用泛函分析多复变的方法讨论了单位球上加权Bergman空间到Zygmund空间的积分算子的有界性和紧性问题,并给出了P g为有界算子和紧算子的充要条件。同时得到了单位圆盘D上和 ?(z) = z 时单位球上的相应结论。 |
关键词: 加权Bergman空间 Zygmund空间 积分算子 有界性 紧性 |
DOI: |
分类号:O174.56; O177.2 |
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目) |
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An Integral-type Operators from Weighted Bergman space |
Zhao yanhui,廖春艳,邓春红
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Abstract: |
Some questions of integral-type operator were studied on Zygmund type spaces
on the unit ball , By the methods of functional analysis and several complex variables, the nec-
essary and sufficient conditions are given for integral-type operator to be bounded and compact
on Zygmund type spaces on the unit ball. At the same time, the corresponding conclusions are
obtained on the disk D and ?(z) = z respectively. |
Key words: Zygmund type spaces Integral-type Operator Boundedness Compactness |