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有界核Marcinkiewicz积分交换子的双权弱型不等式

Two-weight,Weak-type Norm Inequalities for Commutators of Marcinkiewicz Integrals
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摘要 得到Ω满足一类有界核D ini型条件时Marcinkiewicz积分交换子μ,Ωb(f)的双权弱型估计。 This paper obtains the two-weight, weak（ p, p） inequalities for the commutators μn .b （f） of Marcinkiewicz integrals with Ω satisfying the bounded Dini type condition.
作者 左大伟 贾慧羡
机构地区 石家庄铁道学院数理系 石家庄邮电职业技术学院基础部
出处 《石家庄铁道学院学报》 2007年第1期64-68,共5页 Journal of Shijiazhuang Railway Institute
关键词 MARCINKIEWICZ积分 交换子 DINI型条件 Marcinkiewicz integral commutator Dini type condition
分类号 O174.2 [理学—基础数学]
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参考文献7

  • 1Stein E M.On the function of littlewood-paley,lusin and Marcinkiewicz[J].Trans.Amer.Math Soc,1958,88:430-466.
  • 2Jeasung Lee,Kyung Soo Rim.Estimates of Marcinkiewicz integral with bounded homogeneous kerels of degree zero[J].Integral Equations and Operator Theory,2004,48:213-223.
  • 3DING Yong, LU Shanzhen & ZHANG PuDepartment of Mathematics, Beijing Normal University, Beijing 100875, China,Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China.Weighted weak type estimates for commutators of the Marcinkiewicz integrals[J].Science China Mathematics,2004,47(1):83-95. 被引量：25
  • 4瞿萌,束立生.有界核Marcinkiewicz积分的弱型估计(英文)[J].安徽师范大学学报（自然科学版）,2005,28(1):10-13. 被引量：3
  • 5Cruz-uribe D,SFO,C perez.Two-weight,weak-type norm ineqralities for fractional integrals,Calderón-Zygmund operators and commutators[J].Indiana University Mathenatics Journal,2000,49:697-721.
  • 6Garcia Cuerva J,Rubio de Francia J L.Weighted norm inequalities and related topic[M].North-Holland Amsterdan:North-Holland Math Studies,1985.
  • 7Perez C.Endpoint estimates for commutators of singular intrgral operators[J].Journal of Functions Analy-sis,1995,128:163-185.

二级参考文献4

  • 1Carlos Pérez.Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function[J].The Journal of Fourier Analysis and Applications.1997(6)
  • 2Perez,C.Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function[].J Fourier Anal and Appl.1997
  • 3Perez,C.Endpoint estimates for commutators of singular integral operators, J[].Journal of Functional Analysis.1995
  • 4Yong Ding Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China Dashan Fan Department of Mathematics, Anhui University and University of Wisconsin-Milwaukee. MW 53201 USA Yibiao Pan Department of Mathematics, University of Pittsburgh. Pittsburgh. Pennsylvania 15260. USA.L^p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels[J].Acta Mathematica Sinica,English Series,2000,16(4):593-600. 被引量：89

共引文献26

石家庄铁道学院学报
2007年 第1期

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