一类多线性Hardy型算子在变指数Herz-Morrey空间的有界性

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  • School of Mathematics and Computer Science, Anhui Normal University
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.

收稿日期: 2014-02-13

  网络出版日期: 2020-11-19

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

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  • School of Mathematics and Computer Science, Anhui Normal University
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.

Received date: 2014-02-13

  Online published: 2020-11-19

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. 

本文引用格式

程星星, 瞿萌, 束立生 . 一类多线性Hardy型算子在变指数Herz-Morrey空间的有界性[J]. 数学季刊, 2015 , 30(4) : 570 -578 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.04.010

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. 
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