| 沿齐次曲线的强奇异积分算子在调幅空间上的有界性 |
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| 引用本文： | 程美芳,张震球.沿齐次曲线的强奇异积分算子在调幅空间上的有界性[J].数学学报,2010,53(3):531-540. |
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| 作者姓名： | 程美芳 张震球 |
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| 作者单位： | 安徽师范大学数学计算机科学学院;南开大学数学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10671041,10971039); 安徽省教育厅一般项目(KJ2008B244) |
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| 摘 要： | 设Γ_θ(t)为R~n(n≥2)中的齐次曲线,定义沿齐次曲线的强奇异积分算子T_(n,α,β)f(x)=p.v.∫_(-1)~1f(x-Γ_θ(t))(e~((-2πi|t|)~(-β))/(t|t|~α))dt,α,β>0.本文讨论了上述奇异积分算子在广义调幅空间上的有界性.
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| 关 键 词： | 强奇异积分 调幅空间 齐次曲线 |
| 收稿时间： | 2009-03-02 |
| 修稿时间： | 2009-10-27 |
Hypersingular Integrals Along Homogeneous Curves on Modulation Spaces |
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| Mei Fang CHENG College of Mathematics , Computer Sciences,Anhui Normal University,Wuhu ,P.R.China Zhen Qiu ZHANG School of Mathematical Sciences,Nankai University,Tianjin ,P.R.China.Hypersingular Integrals Along Homogeneous Curves on Modulation Spaces[J].Acta Mathematica Sinica,2010,53(3):531-540. |
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| Authors: | Mei Fang CHENG College of Mathematics Computer Sciences Anhui Normal University Wuhu PRChina Zhen Qiu ZHANG School of Mathematical Sciences Nankai University Tianjin PRChina |
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| Institution: | 1. College of Mathematics and Computer Sciences, Anhui Normal University, Wuhu 241000, P. R. China;
2. School of Mathematical Sciences, Nankai University, Tianjin 300071, P. R. China |
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| Abstract: | Let Γθ(t) be homogeneous curve on  , and hypersingular integrals along Homogeneous curves be defined by  The purpose of this paper is to investigate the boundedness of these integral operators on general modulation spaces.
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| Keywords: | hyper-singular integrals modulation spaces homogeneous curves |
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