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强奇异积分算子及其交换子在加权Morrey空间上的有界性 被引量:2

Boundedness for strongly singular Calderón-Zygmund operators and their commutators on weighted Morrey spaces
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摘要 设T是强奇异积分算子,b∈BMO(Rn).本文考虑了T及其交换子[b,T]在加权Morrey空间Lp,k(ω),1<p<∞,0<k<1,ω∈Ap上的有界性结论,并知当p=1时,T也是弱(L1,k(ω),L1,k(ω))有界. It is shown that the strongly singular Calder6n-Zygmund operators and their commutators are bounded in weighted Morrey spaces.
出处 《暨南大学学报(自然科学与医学版)》 CAS CSCD 北大核心 2013年第3期263-266,共4页 Journal of Jinan University(Natural Science & Medicine Edition)
基金 国家自然科学基金项目(1161021)
关键词 强奇异积分算子 交换子 加权Morrey空间 BMO函数 strongly singular C-Z operators commutators weighted Morrey spaces BMO func-tion
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  • 1HIRSCHMAN I I.On multiplier transformations [ J] .Duke Math J,1957,26:221.
  • 2WAINGER S.Special trigonometric series in k-dimen-sions [J].Men Amer Math Soc,1965,59;1.
  • 3GARCIA-CUERVA J,HARBOURE E,SEGOVIA C-Weighted norm inequalities for commotators of stronglysingular integrals [ J].Indiana Univ Math J,1991,41:1397.
  • 4MORREY C B.On the solutions of quasi-linear ellipticpartial differential equations [ J].Trans Amer Math Soc,1938,43:126-166.
  • 5KOMORI Y,SHIRAI S.Weighted Morrey spaces and asingular integral operator[ J].Japan Math Narch,2009,2:219-231.
  • 6MUCKENHOUPT B,WHEEDEN R. Weighted boundedmean oscillation and the Hilbert transform [ J].StudiaMath,1976,54:221-237.
  • 7TORCHINSKY A.Real variable methods in harmonic a-nalysis[M].Academic Press,San Diego,1986.

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