Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability 被引量：1

Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability

下载PDF

导出

摘要 In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered. In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered.

作者 hu yuan-zhu xu jing-shi ji you-qing

机构地区 School of Mathematics and Statistics 不详

出处《Communications in Mathematical Research》 CSCD 2017年第3期238-258,共21页 数学研究通讯（英文版）

基金 The NSF(11361020)of China the NSF(20151011)of Hainan Province

关键词 multilinear Calderón-Zygmund operator variable exponent Herz-Morrey space vector valued estimate multilinear Calderón-Zygmund operator variable exponent Herz-Morrey space vector valued estimate

分类号 O177 [理学—数学]

引文网络
相关文献

参考文献3

1LIAN Jia-li,LI Ji,WU Huo-xiong.Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(1):109-120. 被引量：8
2Yan LU,Yue Ping ZHU.Boundedness of Multilinear Caldern–Zygmund Singular Operators on Morrey–Herz Spaces with Variable Exponents[J].Acta Mathematica Sinica,English Series,2014,30(7):1180-1194. 被引量：15
3HUANG Ai-wu XU Jing-shi.Multilinear singular integrals and commutators in variable exponent Lebesgue spaces[J].Applied Mathematics(A Journal of Chinese Universities),2010,25(1):69-77. 被引量：24

二级参考文献17

1D Cruz-Uribe, A Fiorenza, C Neugebauer. The maximal function on variable L^p spaces, Ann Acad Sci Fenn Math, 2003, 28: 223-238. 被引量：1
2D Cruz-Uribe, A Fiorenza, J Martell, and C Perez. The boundedness of classical operators on variable L^p spaces, Ann Acad Sci Fen Math, 2006, 31: 239-264. 被引量：1
3G Curbera, J Garcia-Cuerva, J Martell, C Perez. Extrapolation with weights, rearrangementinvariant function spaces, modular inequalities and applications to singular integrals, Adv Math, 2006, 203: 256-318. 被引量：1
4L Diening. Maximal function on generalized Lebesgue spaces L^p(-), Math Inequal Appl, 2004, 7: 245-253. 被引量：1
5L Diening. Maximal function on Musielak-Orlicz spaces and generalized lebesgue spaces, Bull Sci Math, 2005, 129: 657-700. 被引量：1
6L Grafakos, RTorres. Multilinear Calderon-Zygmund theory, Adv Math, 2002, 165: 124-164. 被引量：1
7O Kovacik, J Rakosnik. On spaces L^p(x) and W^k,p(x), Czechoslovak Math J, 1991, 41: 592-618. 被引量：1
8ANekvinda. Hardy-Littlewood maximal operator on L^p(x)(R^n), Math Inequal Appl, 2004, 7: 255-265. 被引量：1
9C Perez, R Torres. Sharp maximal function estimates for multilinear singular integrals, Harmonic Analysis at Mount Holyoke, Contemp Math, 2003, 320: 323-331. 被引量：1
10C Perez, RTrujillo-Gonzalez. Sharp weighted estimates for multilinear commutators, J London Math Soc, 2002, 65: 672-692. 被引量：1

共引文献38

1TAO Xiang-xing,YU Xiao,ZHANG Hui-hui.Multilinear Calder′on Zygmund operators on variableexponent Morrey spaces over domains[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(2):187-197. 被引量：10
2LIAN Jia-li,MA Bo-lin,WU Huo-xiong.Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(3):353-367. 被引量：3
3陶双平,李巧妮.一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性[J].西北师范大学学报（自然科学版）,2012,48(5):1-7. 被引量：1
4武江龙,张璞.多线性Hardy型算子在变指数Herz-Morrey乘积空间上的有界性[J].高校应用数学学报（A辑）,2013,28(2):154-164. 被引量：1
5连佳丽,马柏林,伍火熊.关于多线性分数次积分与加权Lipschitz函数的交换子[J].数学物理学报（A辑）,2013,33(3):494-509. 被引量：1
6CHEN SongQing,WU HuoXiong.Multiple weighted estimates for commutators of multilinear fractional integral operators[J].Science China Mathematics,2013,56(9):1879-1894. 被引量：2
7Zhuhong Xuan,Lisheng Shu.Boundedness for Commutators of Calder o′n-Zygmund Operator on Morrey Spaces with Variable Exponent[J].Analysis in Theory and Applications,2013,29(2):128-134. 被引量：2
8Qiaoni Li,Shuangping Tao.Boundedness of Multilinear Commutators with Rough Kernels on Morrey-Herz Spaces[J].Analysis in Theory and Applications,2013,29(3):289-307.
9连佳丽,伍火熊.具有非光滑核的多线性奇异积分算子交换子的Lipschitz估计(英文)[J].数学进展,2013,42(6):748-762. 被引量：1
10宣住红,束立生.高阶交换子在变指数Herz-Morrey空间上的有界性（英文）[J].南京大学学报（数学半年刊）,2013,30(2):188-196. 被引量：1

同被引文献5

1Jing-shi XU Department of Mathematics, Hunan Normal University, Changsha 410081, China.Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures[J].Science China Mathematics,2007,50(3):361-376. 被引量：10
2HUANG Ai-wu XU Jing-shi.Multilinear singular integrals and commutators in variable exponent Lebesgue spaces[J].Applied Mathematics(A Journal of Chinese Universities),2010,25(1):69-77. 被引量：24
3Guo En HU,Yan MENG.Multilinear Calderón-Zygmund Operator on Products of Hardy Spaces[J].Acta Mathematica Sinica,English Series,2012,28(2):281-294. 被引量：2
4Yan LU,Yue Ping ZHU.Boundedness of Multilinear Caldern–Zygmund Singular Operators on Morrey–Herz Spaces with Variable Exponents[J].Acta Mathematica Sinica,English Series,2014,30(7):1180-1194. 被引量：15
5Wei WANG,Jingshi XU.Multilinear Calderon-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces[J].Frontiers of Mathematics in China,2017,12(5):1235-1246. 被引量：2

引证文献1

1Shengrong WANG,Jingshi XU.Boundedness of Vector Valued Bilinear Calderón-Zygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents[J].Chinese Annals of Mathematics,Series B,2021,42(5):693-720. 被引量：3

二级引证文献3

1王英杰,赵睿刚,汤灿琴.某类次线性算子在加权变指数Herz空间上的有界性[J].湖南文理学院学报（自然科学版）,2023,35(2):1-6.
2刘可欣,王立伟.向量值次线性算子的交换子在变指数Herz-Morrey空间上的加权估计[J].应用数学,2024,37(2):496-508.
3王英杰,周梦,汤灿琴.加权极大变指数Herz型空间上的次线性算子[J].东北师大学报（自然科学版）,2024,56(1):40-45.

1周彬彬,孙佳佳,张玉洁.Leptonic Decays of Heavy Vector and Pseudoscalar Mesons[J].Communications in Theoretical Physics,2017,67(6):655-660.
2Tze-ki Hon.Imagining a Postnational World： Hegemony and Space in Modern China[J].Frontiers of History in China,2017,12(2):353-355.
3Wenjie Li,Quanquan Mu,Shaoxin Wang,Chengliang Yang,Haiping Wang,Zhaoliang Cao,Li Xuan.Design of the Rotation Angle Measurement System for the Atmospheric Dispersion Corrector (ADC)[J].Journal of Harbin Institute of Technology(New Series),2017,24(4):57-61.

Communications in Mathematical Research

2017年第3期

浏览历史

内容加载中请稍等...