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山东大学学报（理学版） ›› 2018, Vol. 53 ›› Issue (6): 30-37.doi: 10.6040/j.issn.1671-9352.0.2017.629

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多线性分数次积分和极大算子在Morrey空间上的加权估计

陶双平,高荣   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 收稿日期:2017-12-11 出版日期:2018-06-20 发布日期:2018-06-13
  • 作者简介:陶双平(1964— ), 男, 教授, 研究方向为调和分析及其在色散方程中的应用. E-mail:taosp@nwnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11561062,11661061,11601434)

Estimates of multilinear fractional integrals and maximal operators on weighted Morrey spaces

TAO Shuang-ping, GAO Rong   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-12-11 Online:2018-06-20 Published:2018-06-13

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摘要： 利用函数分解方法和A((→overp),q)权不等式等工具, 得到了多线性分数次积分算子和多线性分数次极大算子在加权Morrey空间上的有界性和弱估计。

关键词: 多线性分数次积分, 多线性分数次极大算子, A((→overp), 加权Morrey空间, q)权

Abstract: By using the function decompositions and the inequalities of A((→overp),q) weights, the boundedness and weak estimates of the multilinear fractional integrals and multilinear fractional maximal operators are established on the weighted Morrey spaces.

Key words: A((→overp),q) weight, weighted Morrey space, multilinear fractional maximal operator, multilinear fractional integral

中图分类号: 

  • O174.2
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