数学季刊 ›› 2015, Vol. 30 ›› Issue (4): 570-578.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.010

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一类多线性Hardy型算子在变指数Herz-Morrey空间的有界性

  

  1. School of Mathematics and Computer Science, Anhui Normal University
  • 收稿日期:2014-02-13 出版日期:2015-12-30 发布日期:2020-11-19
  • 作者简介:CHENG Xing-xing(1990-), female, native of Anqing, Anhui, M.S.D., engages in harmonic analysis; QU Meng(1977-), male, native of Anqing, Anhui, an associate professor of Anhui Normal University, Ph.D., engages in harmonic analysis; SHU Li-sheng(1955-), male, native of Shucheng, Anhui, a professor of Anhui Normal University, Ph.D., engages in harmonic analysis.
  • 基金资助:
    Supported by the National Natural Science Foundation of China(11201003); Supported by the Education Committee of Anhui Province(KJ2012A133);

Boundedness of Some Multilinear Hardy Type Operators on Herz-Morrey Spaces with Variable Exponent

  1. School of Mathematics and Computer Science, Anhui Normal University
  • Received:2014-02-13 Online:2015-12-30 Published:2020-11-19
  • About author:CHENG Xing-xing(1990-), female, native of Anqing, Anhui, M.S.D., engages in harmonic analysis; QU Meng(1977-), male, native of Anqing, Anhui, an associate professor of Anhui Normal University, Ph.D., engages in harmonic analysis; SHU Li-sheng(1955-), male, native of Shucheng, Anhui, a professor of Anhui Normal University, Ph.D., engages in harmonic analysis.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11201003); Supported by the Education Committee of Anhui Province(KJ2012A133);

摘要: In this paper, we will obtain that the boundedness of multilinear n-dimensional fractional Hardy operators of variable order β(x) on variable exponent Herz-Morrey spaces. 

关键词: multilinear n-dimensional fractional Hardy operators, Herz-Morrey spaces, variable exponent

Abstract: In this paper, we will obtain that the boundedness of multilinear n-dimensional fractional Hardy operators of variable order β(x) on variable exponent Herz-Morrey spaces. 

Key words: multilinear n-dimensional fractional Hardy operators, Herz-Morrey spaces; variable exponent

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