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线性交换子的加权估计 被引量：4

Weighted estimate for commutators of multilinear operators
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摘要 多线性交换子Tb(f)(x)=∫Rn∏from i=1 to m(bi(x)-bi(y))k(x,y)f(y)dy在Lp(Rn)(1<p<∞)上是有界的,而K是一个标准的Calderón-Zygmund核.主要研究交换子Mf(x)=supx∈Q1/|Q|∫Q|f(y)|dy,其中f∈Lloc(Rn),x∈Rn,Q是任何包含x的方体,并用Sharp极大估计得到了该多线性交换子在Herz空间的一个加权有界性. The multilinear commuators defined as Tb（f）（x）=∫R^n∏i=1^m（bi（x）-bi（y））k（x,y）f（y）dy bounded in L^p（R^n）（1〈p〈∞）, where K is a standard Calder6n-Zygmund kenerl. The commutator opera tor M f（ x ）=sup s∈Q 1/｜Q｜fQ｜f（y）｜dy, where f∈Lloc（R^n）,x∈R^n,Q be any cube which contains x,and associatedto multilinear singular intergals in BMO （R^n） , it is obtained that a weighted norm inequalities, the weighted boundedness forthe commutators of multilinear operators are proved.
作者 周疆 马柏林 江寅生 李亮 杨其
机构地区 湖南大学数学与计量经济学院 新疆大学数学与系统科学学院 伊犁师范学院数学系
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第2期113-118,共6页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10771054)
关键词 多线性 HERZ空间 交换子 ω(p^i) Lp(R^n) 加权 Cauchy problem classical solution singularity life span
分类号 O177.99 [理学—基础数学]
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参考文献11

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同被引文献16

  • 1邓东皋,颜立新.COMMUTATORS OF SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS[J].Acta Mathematica Scientia,2005,25(1):137-144. 被引量：10
  • 2张一方.从量子力学-相对论到物理学的基本原理和Noether定理的推广[J].云南大学学报（自然科学版）,2007,29(4):375-381. 被引量：17
  • 3ZHANG Jian-hua, ZHANG Fang-juan. Nonlinear maps preserving Lie products on factor von Neumann algebras [ J ]. Linear Al- gebra and its Applications,2008,429 ( 1 ) : 18-30.
  • 4MOLNR L. Jordan maps on standard operator algebras [ M ]. Functional Equations - Results and Advances, North America: Kluwer Academic Publishers,2002.
  • 5MOLN.R L. On isomorphisms of standard operator algebras[ J]. Studia Mathematics,2000,142( 1 ) :295-302.
  • 6LU Fang-yan. Additivity of Jordan maps on standard operator algebras [ J ]. Linear Algebra and its Applications, 2002,357 (1) :123-131.
  • 7LU Fang-yam Jordan maps on associative algebras [ J ]. Communications in Algebra,2003,31 (5) :2 273-2286.
  • 8LIU Lei, JI Guo-xing. Maps preserving product X" Y + YX* on factor von Neumann algebras [ J ]. Linear and Multilinear Alge- bra,2011,59(9) :951-955.
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  • 10AN Run-lin, HOU Jin-ehuan, Additivity of Jordan muhiplieative maps on Jordan operator algebras [ J ]. Taiwan Residents Journal of Mathematics ,2006,10( 1 ) :45-64.

引证文献4

二级引证文献13

云南大学学报（自然科学版）
2008年 第2期

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