| 紧齐性空间上的调和分析──关于奇异积分 |
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| 引用本文： | 董道珍,郑学安.紧齐性空间上的调和分析──关于奇异积分[J].安徽大学学报(自然科学版),1995,19(4):13-19. |
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| 作者姓名： | 董道珍 郑学安 |
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| 作者单位： | 河南大学数学系，安徽大学数学系 |
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| 摘 要： | 本文研究了紧致齐性空间上一类卷积型的奇异积分，并获得了相应的Ｈ~Ｐ有界性的估计
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| 关 键 词： | 紧致齐性空间，奇异积分中图分类号O175·5所谓紧齐性空间是指一紧致Riemann流形M，其等度变换群G可递。如设M上一点9的迷向群为K，则M等距同构于G／K，可知G是一紧李群，因此可借助于李代数特别是表示论的工具研究M上调和分析。这也是典型群和紧李群上调和分析理论的十分自然? |
Harmonic Analysis on the Compact Homogeneous Spaces on the Singular Integrals |
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| Dong Daozhen.Harmonic Analysis on the Compact Homogeneous Spaces on the Singular Integrals[J].Journal of Anhui University(Natural Sciences),1995,19(4):13-19. |
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| Authors: | Dong Daozhen |
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| Institution: | Dong Daozhen(Dept. of Mathematics Henan University Kaifeng 475001)Zheng Xuean (Dept. of Mathematics Anhui University Hefei 230039 ) |
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| Abstract: | In this paper .we study the theory of convolution operators with a singular kernel. eachhaving its only singularities at a finite point. We proved mainly the Theorem 1. Suppose the kernel K (m ) satisfies the conditionswith AP independ of f and E. Also for each f∈ Lp(m ). exists in Lpnorm. The operator T so defined also satisfies the inetluality (1 ). |
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| Keywords: | singular integral compact homogeneous spaces |
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