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WEIGHTED BOUNDEDNESS OF PARAMETRIC MARCINKIEWICZ INTEGRAL AND HIGHER ORDER COMMUTATOR

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【Author】 Xinfeng Shi and Yinsheng Jiang College of Mathematics and System Sciences Xinjiang University Urumqi, 830046P. R. China

【摘要】 In this paper, the weighted boundedness of parametric Marcinkiewicz integral and its commutator with rough kernels are considered. In addition, the weak type norm inequalities for parametric Marcinkiewicz integral and its commutator with different weight functions and Dini kernel are also discussed.

【Abstract】 In this paper, the weighted boundedness of parametric Marcinkiewicz integral and its commutator with rough kernels are considered. In addition, the weak type norm inequalities for parametric Marcinkiewicz integral and its commutator with different weight functions and Dini kernel are also discussed.

【关键词】 parametric marcinkiewicz integral； commutator； Ap weight； rough kernel； Young function； Dini condition；
【Key words】 parametric marcinkiewicz integral； commutator； Ap weight； rough kernel； Young function； Dini condition；
【基金】 Supported by NSFC of China (10861010)
  • 【文献出处】 Analysis in Theory and Applications ,分析,理论与应用(英文版) , 编辑部邮箱 ,2009年01期
  • 【分类号】O177
  • 【被引频次】14
  • 【下载频次】68
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