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A Class of Maximal Functions with Oscillating Kernels
作者姓名:Ahmad  AL-SALMAN
作者单位:Department of Mathematics, Yarmouk University, Irbid, Jordan
摘    要:

关 键 词:振荡奇异积分  振荡核  极大函数  Morrey空间
修稿时间:2005-10-28

A Class of Maximal Functions with Oscillating Kernels
Ahmad AL-SALMAN.A Class of Maximal Functions with Oscillating Kernels[J].Acta Mathematica Sinica,2007,23(11):2003-2016.
Authors:Ahmad Al-Salman
Institution:(1) Department of Mathematics, Yarmouk University, Irbid, Jordan
Abstract:The author studies the L^p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. Lp estimates, as well as the corresponding weighted estimates of such maximal functions, are obtained. Moreover, several applications of our results are highlighted.
Keywords:oscillatory singular integrals  maximal functions  weighted L^p bounds  power weights  parametric Marcinkiewicz integral operators  Morrey spaces
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