| 多元向量值测度 |
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| 引用本文： | 邸继征.多元向量值测度[J].数学研究,2001,34(4):329-338. |
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| 作者姓名： | 邸继征 |
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| 作者单位： | 山西师范大学数学系, |
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| 基金项目： | thereturnedoverseasscholarfundationofShanxiProvince |
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| 摘 要： | 在本系列论中，研究了相应于多重线性映射的强测度论；引入基于该测度论的强多重线性积分系统；建立了基于弱测度论的弱积分理论，这些结果属于多元向量值测度论的范畴，其积分模型几乎包含了所有现今广泛应用的积分。
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| 关 键 词： | 多重线性映射 强测度 强积分 向量值测度 |
Multivariate
Vector-valued Measure |
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| Abstract.Multivariate
Vector-valued Measure[J].Journal of Mathematical Study,2001,34(4):329-338. |
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| Authors: | Abstract |
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| Abstract: | In this series of papers, a theory of the strong measure related to a multilinear mapping is studied; a system of the strong multilinear integrals based on the theory is introduced; a theory of the weak integral opposite of the weak measure are set up. These results contribute to multivariate vector-valued measures and the models of these integrals cover almost all integrals widely used today. |
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| Keywords: | multilinear mapping strong measure strong integral |
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