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N维分数次Hardy算子交换子的特征 被引量：10

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摘要 证明了由n维分数次Hardy算子和局部可积的函数b生成的交换子H_(β,b)为从L^(p1)(R^n)到L^(p2)(R^n)有界算子的充要条件是b为C(?)O(R^n)函数,其中1/p1-1/p2=β/n,1＜p1＜∞,0≤β＜n．进一步还得到了H_(β,b)在齐次Herz空间(?)_q^(α,p)(R^n)上的特征刻画．
作者 傅尊伟 刘宗光 陆善镇 王洪彬
机构地区 北京师范大学数学科学学院 中国矿业大学(北京)数学系
出处 《中国科学（A辑）》 CSCD 北大核心 2007年第6期651-659,共9页 Science in China(Series A)
基金 国家自然科学基金(批准号:10571014 10371080) 教育部博士点基金(批准号:20040027001)资助项目
关键词 n维分数次Hardy算子 交换子 CMO函数 齐次Herz空间
分类号 O177 [理学—基础数学]
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参考文献1

二级参考文献12

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共引文献49

同被引文献34

  • 1Zun-wei FU~(1,2) Zong-guang LIU~3 Shan-zhen LU~(1+) Hong-bin WANG~3 ~1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China,~2 Department of Mathematics,Linyi Normal University,Linyi 276005,China,~3 Department of Mathematics,China University of Mining and Technology (Beijing),Beijing 100083,China.Characterization for commutators of n-dimensional fractional Hardy operators[J].Science China Mathematics,2007,50(10):1418-1426. 被引量：42
  • 2Lu Shanzhen and Yang Dachun (Beijing Normal University, China).THE CENTRAL BMO SPACES AND LITTLEWOOD-PALEY OPERATORS[J].Analysis in Theory and Applications,1995,11(3):72-94. 被引量：50
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  • 10Lu S, Xu L. Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces [J]. Hokkaido Mathematical Journal, 2005, 34(2): 299-314.

引证文献10

二级引证文献10

中国科学（A辑）
2007年 第6期

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