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齐型空间上极大交换子的一个加权估计 被引量：6

A Weighted Estimate for the Maximal Commutators on Spaces of Homogeneous Type
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摘要 本文建立齐型空间上与奇异积分算子和BMO构成的交换子相应的极大算子的一个带一般权的加权L^p估计. In this paper, a weighted norm inequality with general weights is established for the maximal operator associated with the commutators of singular integral operators on spaces of homogeneous type.
作者 胡国恩 王卫红
机构地区 信息工程大学应用数学系 汕头大学数学系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2010年第1期141-152,共12页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金资助项目(10671210)
关键词 齐型空间 加权估计 奇异积分算子 space of homogeneous type weighted norm inequality singular integraloperator
分类号 O174.2 [理学—基础数学]
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参考文献12

  • 1Coifman R. R., Weiss G., Analyse Haxmonique Non-commutative sur Certains Espaces Homogenes, Lecture Notes in Math., 242, Berlin: Springer, 1972.
  • 2Macias R, Segovia C., Lipschitz functions on spaces of homogeneous type, Adv. in Math., 1979, 33: 257-270.
  • 3Pradolini G., Salinas O, Commutators of singular integrals on spaces of homogeneous type, Czechoslovak Math. J., 2007, 57: 75-93.
  • 4Hu G., Shi X., Zhang Q., Weighted norm inequalities for the maximal singular integral operator on spaces of homogeneous type, J. Math. Anal. Appl., 2007, 336: 1-17.
  • 5Li D., Hu G., Shi X., Weighted norm inequalities for the maximal commutators of singular integral operators, J. Math. Anal. Appl., 2006, 319: 509-521.
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  • 10Perez C., Sharp estimates for commutators of singular integrals via iterations of the HardY-Littlewood maximal function, J. Fourier Anal. Appl, 1997, 3: 743-756.

同被引文献42

  • 1Duong X T. Mcintosh A. Singular Integral Operators with Non-smooth Kernel on Irregular Domains[J]. Rev Mat Iberoarnericana , 1999. 15(2): 233-265.
  • 2Perez C. Trujillo-Gonzalez R. Sharp Weighted Estimates for Multilinear Commutators[J].J London Math Soc. 2002. 65(3): 672-692.
  • 3Coifman R. Weiss G. Analyse Harmonique Non-commutative Sur Certains Espaces Homognes[MJ. Lecture Notes in Math. New York: Springer. 1971: 242.
  • 4Duong X T. YAN Li-xin. Commutators of BMO Functions and Singular Integral Operators with Non-smooth Kernels DJ. Bull Austral Math Soc. 2003. 67(2): 187-200.
  • 5XUJing-shi. Multilinear Commutators of Singular Integral Operators with Non-smooth Kernels[J]. TaiwaneseJournal of Mathematics. 2007. 11(2): 483-496.
  • 6Perez C. Endpoint Estimates for Commutators of Singular Integral Operators[J].J Func Anal. 1995. 128(1): 163-185.
  • 7ZHANG Qian , LIU Lan-zhe. A Good A Estimate for Multilinear Commutator of Singular Integral on Spaces of Homogeneous Type[n. ArmenianJournal of Mathematics. 2010. 3(3): 105-126.
  • 8Paluszynski M. Characterization of the Besov Spaces via the Commutator Operator of Coifrnan , Rochbeg and Weiss[J]. Indiana Univ MathJ. 1995. 44(1): 1-17.
  • 9Genebashvili I. Gogatishvili A, Kokilashvili V. et al. Weighted Theory for Integral Transforms on Space of T[M] Longman. Piman Monogr and Survey in Pure and Appl Math. 1998.
  • 10DUONG X T,MCINTOSH A.Singular integral operators with non-smooth kernel on irregular domains[J].Rev Mat Iberoamericana,1999(15):33-265.

引证文献6

二级引证文献3

数学学报（中文版）
2010年 第1期

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