| 一类函数空间上偏微分算子有界性和紧性的刻画(英文) |
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| 引用本文： | 王春.一类函数空间上偏微分算子有界性和紧性的刻画(英文)[J].数学杂志,2012,32(1):49-54. |
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| 作者姓名： | 王春 |
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| 作者单位： | 长治学院数学系,山西长治,046011 |
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| 基金项目： | Supported by Scientific Research and Development Project of Higher Colleges of Shanxi Province (20101130);Scientific Research Project of Changzhi University (2008201) |
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| 摘 要： | 本文研究了一类具有再生核的多复变量函数空间上偏微分算子的有界性和紧性.利用算子理论的方法,获得了偏微分算子是有界的和紧的充分必要条件,推广了文献1]中的结果.
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| 关 键 词： | 有界性 紧性 偏微分算子 再生核 函数空间 |
CHARACTERIZATION OF BOUNDEDNESS AND COMPACTNESS FOR PARTIAL DIFFERENTIAL OPERATORS ON A CLASS OF FUNCTION SPACES |
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| WANG Chun.CHARACTERIZATION OF BOUNDEDNESS AND COMPACTNESS FOR PARTIAL DIFFERENTIAL OPERATORS ON A CLASS OF FUNCTION SPACES[J].Journal of Mathematics,2012,32(1):49-54. |
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| Authors: | WANG Chun |
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| Institution: | WANG Chun(Dept.of Math.,Changzhi University,Changzhi 046011,China) |
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| Abstract: | In this article,we study the boundedness and compactness of partial differential operators on a class of several complex variables function spaces with reproducing kernel functions.By using operator-theoretic method,necessary and sufficient conditions are obtained for the partial differential operators to be bounded and compact,thus the results in 1] are extended. |
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| Keywords: | boundedness compactness partial differential operators reproducing kernel function spaces |
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