| Nilpotient Lie群上Herz空间及它的某些应用 |
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| 引用本文： | 朱月萍,李登峰.Nilpotient Lie群上Herz空间及它的某些应用[J].数学季刊,2003,18(1):74-81. |
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| 作者姓名： | 朱月萍 李登峰 |
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| 作者单位： | [1]DepartmentofMathematics,NantongTeacher‘sInstitute,Nantong226007,China [2]CollegeofMath-ematicsandInformationScience,HenanUniversity,Kaifeng475001,China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(60 2 72 0 4 2 )，SupportedbytheNationalNaturalScienceFoundationofHenanProvince(2 110 50 30 0 ) |
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| 摘 要： | §1 . IntroductionLetGbeaconnectedandsimplyconnectednilpotentLiegroupwith(bi invariant)HaarmeasuredgandLiealgebraG .Theexponetialmapissurjectiveby 12 ],Theorem 3.6 .1.Onecanassociatedasubellipticdistance (g ,h)d′( g ;h)witheachfixedalgeraicbasisa1 ,a2 ,…ad′ofG .Foralli∈ { 1,2 ,… ,d′} ,letAi =dL(ai)denotethegeneratorsoflefttranslationsactingontheclass{ai} .Thisdistancehasthecharacterizationd′( g ;h) =sup{ ｜ψ( g) - ψ(h) ｜ :ψ∈C∞0 (G) ,∑d′i=1｜ (Aiψ) ｜2 ≤ 1} ,(see 9],…
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| 关 键 词： | Herz空间 幂零李群 应用 热核 Riesz变换 Haar测度 模拟 次线性算子 Hardy－Littlewood算子 |
Herz Spaces on Nilpotent Lie Groups and Its Applications |
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| ZHU Yue-ping,LI Deng-feng.Herz Spaces on Nilpotent Lie Groups and Its Applications[J].Chinese Quarterly Journal of Mathematics,2003,18(1):74-81. |
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| Authors: | ZHU Yue-ping LI Deng-feng |
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| Abstract: | In this paper,we define Herz type spaces on nilpotent Lie groups and give the boundedess of heat kernel and Riesz transform on Herz spaces. |
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| Keywords: | nilpotent Lie groups Herz spaces heat kernel |
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