[1]钟海萍,周伟松,张京友,等.广义Riesz变换高阶交换子的CBMO估计[J].四川师范大学学报(自然科学版),2018,(04):510-515.[doi:10.3969/j.issn.1001-8395.2018.04.014]
 ZHONG Haiping,ZHOU Weisong,ZHANG Jingyou,et al.CBMO Estimates for Higher Order Commutators Generated by Generalized Riesz Transform Associated to Second Order Elliptic Operators[J].Journal of SichuanNormal University,2018,(04):510-515.[doi:10.3969/j.issn.1001-8395.2018.04.014]
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广义Riesz变换高阶交换子的CBMO估计()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2018年04期
页码:
510-515
栏目:
基础理论
出版日期:
2018-04-15

文章信息/Info

Title:
CBMO Estimates for Higher Order Commutators Generated by Generalized Riesz Transform Associated to Second Order Elliptic Operators
文章编号:
1001-8395(2018)04-0510-06
作者:
钟海萍1 周伟松2 张京友3 王兴武2
1.豫章师范学院 自然科学系, 江西 南昌 330103;
2.重庆邮电大学 系统理论与应用研究中心, 重庆 400065;
3.重庆三峡学院 数学与统计学院, 重庆 404000
Author(s):
ZHONG Haiping1 ZHOU Weisong2 ZHANG Jingyou3 WANG Xingwu2
1.Department of Natural Sciences, Yuzhang Normal University, Nanchang 330103, Jiangxi;
2.Research Centre of System Theory and Application, Chongqing University of Post and Telecommunications, Chongqing 400065;
3.College of Mathematics and Statisti
关键词:
圆算子 广义Riesz变换 Morrey-Herz 空间 CBMO 空间 L2off-diagonal估计
Keywords:
elliptic operators generalized Riesz transform Morrey-Herz space CBMO space L2off-diagonal estimates
分类号:
O174.2
DOI:
10.3969/j.issn.1001-8395.2018.04.014
文献标志码:
A
摘要:
主要研究高阶交换子Rb,mL的CBMO估计,利用对函数进行环形分解和对算子转化为相应的截断算子的方法,得到Rb,mL从MKα1p,q1(Rn)空间到MKα2p,q2(Rn)空间的有界性.其次,利
Abstract:
The boundedness for the higher order commutators Rb,mL generated by generalized Riesz transform RL and CBMO functions is studied.We prove that Rb,mL is bounded from MK<sup>α1p,q1(Rn)spaces to MK<sup>α2p,q2(Rn)spaces.Moreover, the boundedness of RL from MK<sup>α1p,q1(Rn)spaces to MK<sup>α2p,q2(Rn)spaces is also established, when the heat kernel associated to L has L2off-diagonal estimates.The relevant conclusions of Riesz transform are further generalized.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2017-12-30 接受日期:2018-03-16
基金项目:江西省教育厅科学技术研究项目(GJJ151325)
第一作者简介:钟海萍(1987—),男,讲师,主要从事系统优化与控制研究,E-mail:zhp0493@163.com
更新日期/Last Update: 2018-04-15