| 抛物型奇异积分算子在Triebel-Lizorkin空间的有界性 |
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| 引用本文： | 牛耀明,陶双平.抛物型奇异积分算子在Triebel-Lizorkin空间的有界性[J].数学学报,2011(6):893-900. |
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| 作者姓名： | 牛耀明 陶双平 |
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| 作者单位： | 内蒙古包头师范学院数学科学学院;西北师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(11071250) |
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| 摘 要： | 在Triebel-Lizorkin空间上建立了粗糙核抛物型奇异积分算子T的有界性,其中算子T定义为Tf(x)=p.v.∫_(Rn)(Ω(y))/(ρ(y)~β)f(x-y)dy,β≥n,ρ是伴随某种非迷向展缩的范数.
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| 关 键 词： | 抛物型奇异积分 Triebel-Lizorkin空间 粗糙核 |
Boundedness for Parabolic Singular Integral on Triebel-Lizorkin Spaces |
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| Yao Ming NIU Faculty of Mathematics,Baotou teachers college,Baotou ,P.R.China Shuang Ping TAO College of Mathematics , Information Science,Northwest Normal University,Lanzhou ,P.R.China.Boundedness for Parabolic Singular Integral on Triebel-Lizorkin Spaces[J].Acta Mathematica Sinica,2011(6):893-900. |
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| Authors: | Yao Ming NIU Faculty of Mathematics Baotou teachers college Baotou PRChina Shuang Ping TAO College of Mathematics Information Science Northwest Normal University Lanzhou PRChina |
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| Institution: | Yao Ming NIU Faculty of Mathematics,Baotou teachers college,Baotou 014030,P.R.China Shuang Ping TAO College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,P.R.China |
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| Abstract: | In this paper,the authors give the boundedness on Triebel-Lizorkin spaces for the singular integral operator with rough kernel Tf（x）=p.v.∫Rn,Ω（y）/ρ（y）βf（x- y）dy, whereβ≥n andρis a norm function which is homogeneous with respect to certain nonistropic dialation. |
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| Keywords: | parabolic singular integral Triebcl-Lizorkin space rough kernel |
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