| 带参数的抛物型Marcinkiewicz积分的L~2(R~n)有界性 |
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| 引用本文： | 赵志云,牛耀明.带参数的抛物型Marcinkiewicz积分的L~2(R~n)有界性[J].内蒙古大学学报(自然科学版),2012,43(2):113-117. |
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| 作者姓名： | 赵志云 牛耀明 |
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| 作者单位： | 包头师范学院数学科学学院,内蒙古包头,014030 |
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| 基金项目： | 国家自然科学基金资助项目(11161042;11071250) |
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| 摘 要： | 利用核的分解技术和Fourier变换估计,得到了粗糙核带参数的抛物型Marcinkiewicz 积分μ(Ω)(f)的L2(Rn)有界性.作为应用得到了分别与Littlewood-Paley g(λ)函数和Lusin面积函数相应的参数型Marcinkiewicz函数μ(Ω),(λ)和μ(Ω),s的L2(Rn)有界性.
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| 关 键 词： | Marcinkiewicz积分 抛物型Marcinkiewicz积分 粗糙核 |
L2 (Rn) Boundedness of Parametric Parabolic Marcinkiewicz Integral |
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| ZHAO Zhi-yun
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NIU Yao-ming.L2 (Rn) Boundedness of Parametric Parabolic Marcinkiewicz Integral[J].Acta Scientiarum Naturalium Universitatis Neimongol,2012,43(2):113-117. |
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| Authors: | ZHAO Zhi-yun NIU Yao-ming |
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| Institution: | (Faculty of Mathematics,Baotou Teachers College,Baotou 014030,China) |
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| Abstract: | Using kernel decomposition technique and Fourier transform estimate,the L2(Rn) boundedness is obtained for a class of parametric parabolic Marcinkiewicz Integral μσΩ(f) with a rough kernel.As an application,the L2(Rn) boundedness of μ*,σΩ,λ and μσΩ,S are also obtained.Here μ*,σΩ,λ and μσΩ,S are parametric Marcinkiewicz integrals correspending to the Littlewood-Paley g*λ-function and the Lusin area function,respectively. |
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| Keywords: | Marcinkiewicz integral parabolic Marcinkiewicz integral rough kernel |
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