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非齐型空间上的分数次积分算子交换子在Morrey-Herz空间中的有界性 被引量:1

Boundedness for Commutator of Fractional Integral Operator in Morrey-Herz Space on Non-homogeneous Space
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摘要 本文证明了非齐型空间上的分数次积分算子和RBMO(μ)函数生成的交换子在Morrey-Herz空间中的有界性。 In this paper,we prove the boundedness of the commutator generated by fractional integral operator and RBMO(μ) function in Morrey-Herz space on non-homogeneous space.
作者 刘国华
出处 《安庆师范学院学报(自然科学版)》 2010年第4期12-16,共5页 Journal of Anqing Teachers College(Natural Science Edition)
基金 安徽省自然科学基金重点项目(07021019) 安徽省高校自然科学项目(KJ2007A009)资助
关键词 分数次积分算子 交换子 MORREY-HERZ空间 RBMO(μ) fractional integral operator commutator Morrey-Herz space RBMO(μ)
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参考文献5

  • 1Tolsa X.BMO.H1and Calderon-Zygmund operators for non-doubling measures[J].Math.Ann.,2001(319):89-149.
  • 2Gunawan H.,Sawano Y.,Sihwaningrum I.Fractional integrals in nonhomogeneous spaces[J].Bull.Aust.Math.Soc.,2009,80(2):324-334.
  • 3GUO Yan,MENG Yan.Boundedness of Some Operators and Commutators in Morrey-Herz Spaces on Non-Homogeneous Spaces[J].Journal of Mathematical Research and Exposition,2008,28(2):371-382. 被引量:8
  • 4Verdera J.The fall of the doubling condition in Calderon-Zygmund theory[J].Publ.Mat.,2002(extra volume):275-292.
  • 5Chen Wengu,Sawyer E.A note on commutators of fractional integrals with RBMO(μ) functions[J].Illinois Journal of Mathematics,2002,46(4):1287-1298.

二级参考文献1

共引文献7

同被引文献14

  • 1Tolsa X. BMO, H^1 and Calderon-Zygmund operators for nondoubing measures[J]. Math Ann, 2001, 319(1) :89-149.
  • 2Tolsa X. A T( 1 )theorem for non-doubling measures with atoms [ J ]. Proc London Math Soc, 2001, 82 (1) : 195-228.
  • 3Nazarov F, Treil S, Volberg A. Tb-theorem on non-homogeneous spaces[J]. Acta Mathematica, 2003, 190(2):151-239.
  • 4Verdera J. The fall of the doubling condition in Calderon-Zygmund Theory[J]. Publ Math, 2002, Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, 2000:275-292.
  • 5Hu Guoen, Meng Yan, Yang Dachun. Multilinear commutators of singular integrals with non doubling measures [J]. Integral Equations and Operator Theory, 2005, 51 (2):235- 255.
  • 6Tolsa X. Painleves problem and the semiadditivity of analytic capacity [J]. Acta Mathematica, 2003, 190 (1): 105-149.
  • 7Lu Shanzhen, Xu Lifang. Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces [ J ]. Hokkaido Mathematical Journal, 2005, 34 (2) : 299-314.
  • 8Xue Qingying, Zhang Juyang. Endpoint estimates for a class of Littlewood-Paley operators with nondoubing measures [J]. Journal of Inequalities and Applications, 2009, doi: 10. 1155/2009/175230.
  • 9GUO Yan,MENG Yan.Boundedness of Some Operators and Commutators in Morrey-Herz Spaces on Non-Homogeneous Spaces[J].Journal of Mathematical Research and Exposition,2008,28(2):371-382. 被引量:8
  • 10王立伟,项立群,瞿萌.一类次线性算子在非齐型空间上的Morrey-Herz空间上的有界性[J].安徽工程科技学院学报(自然科学版),2010,25(4):67-71. 被引量:1

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