Multilinear Calderón-Zygmund Operator on Products of Hardy Spaces 被引量：2

Multilinear Calderón–Zygmund Operator on Products of Hardy Spaces

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摘要 In this paper, the authors establish the boundedness of the multilinear Calderon-Zygmund operator from products of Hardy spaces into Hardy spaces In this paper, the authors establish the boundedness of the multilinear Calderon-Zygmund operator from products of Hardy spaces into Hardy spaces

作者 Guo En HU Yan MENG

机构地区 Department of Applied Mathematics School of Information

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第2期281-294,共14页 数学学报（英文版）

基金 supported by National Natural Science Foundation of China(Grant No.10971228) supported by National Natural Science Foundation of China(Grant No.11071200)

关键词 Multilinear Calderdn-Zygmund operator Hardy space atomic decomposition Multilinear Calderdn-Zygmund operator, Hardy space, atomic decomposition

分类号 O177 [理学—数学]

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参考文献1

1林海波,孟岩,杨大春.WEIGHTED ESTIMATES FOR COMMUTATORS OF MULTILINEAR CALDERóN-ZYGMUND OPERATORS WITH NON-DOUBLING MEASURES[J].Acta Mathematica Scientia,2010,30(1):1-18. 被引量：9

二级参考文献4

1Guo-en HU~1 Da-chun YANG~(2+) Dong-yong YANG~2 1 Department of Applied Mathematics,University of Information Engineering,Zhengzhou 450002,China,2 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China.Weighted estimates for commutators of singular integral operators with non-doubling measures[J].Science China Mathematics,2007,50(11):1621-1641. 被引量：7
2胡国恩,孟岩,杨大春.ENDPOINT ESTIMATE FOR MAXIMAL COMMUTATORS WITH NON-DOUBLING MEASUES[J].Acta Mathematica Scientia,2006,26(2):271-280. 被引量：3
3胡国恩,孟岩,杨大春.BOUNDEDNESS OF RIESZ POTENTIALS IN NONHOMOGENEOUS SPACES[J].Acta Mathematica Scientia,2008,28(2):371-382. 被引量：3
4Jing-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

共引文献8

1吴翠兰,束立生.广义分数次积分算子及其交换子在非齐型度量测度空间上的有界性[J].数学进展,2023,52(4):693-704.
2代玉霞.加倍测度空间上的A_1权[J].数学物理学报（A辑）,2011,31(6):1619-1625.
3乔丹,杨美金,陈建仁.极大高阶交换子的端点估计[J].数学物理学报（A辑）,2012,32(2):320-335. 被引量：1
4徐景实,周放军.非双倍测度空间上的Toeplitz算子[J].数学学报（中文版）,2012,55(6):1001-1012.
5胡国恩,孟岩.非倍测度空间上的Calderón-Zygmund算子（英文）[J].数学进展,2013,42(4):417-440.
6韩瑶瑶,赵凯.Marcinkiewicz积分算子及其交换子在非齐度量测度空间上的有界性[J].数学物理学报（A辑）,2020,40(3):597-610. 被引量：3
7Yuan Zhao,Haibo Lin,Yan Meng.Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces[J].Science China Mathematics,2021,64(3):519-546. 被引量：1
8吴翠兰,束立生.非齐度量测度Morrey空间上的Marcinkiewicz积分算子及其交换子的有界性[J].四川师范大学学报（自然科学版）,2023,46(3):346-351.

同被引文献9

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
3赵凯,董鹏娟,邵帅.分数次积分算子交换子在λ-中心Morrey空间上的加权有界性[J].山东大学学报（理学版）,2011,46(12):88-92. 被引量：6
4Takeshi IIDA,Enji SATO,Yoshihiro SAWANO,Hitoshi TANAKA.Multilinear Fractional Integrals on Morrey Spaces[J].Acta Mathematica Sinica,English Series,2012,28(7):1375-1384. 被引量：4
5陶双平,魏喜梅.粗糙核Littlewood-Paley算子在加权Morrey空间上的有界性[J].兰州大学学报（自然科学版）,2013,49(3):400-404. 被引量：3
6Yan 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
7戴惠萍,陶双平,苟银霞.粗糙核Littlewood-Paley算子在加权Morrey空间上的弱估计[J].吉林大学学报（理学版）,2014,52(5):888-894. 被引量：7
8Wei 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
9hu yuan-zhu,xu jing-shi,ji you-qing.Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability[J].Communications in Mathematical Research,2017,33(3):238-258. 被引量：1

引证文献2

1陶双平,高荣.多线性分数次积分和极大算子在Morrey空间上的加权估计[J].山东大学学报（理学版）,2018,53(6):30-37. 被引量：6
2Shengrong 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9

1陶双平,杨雨荷.分数次极大算子及交换子在λ-中心Morrey空间上的加权估计[J].山东大学学报（理学版）,2019,54(8):68-75. 被引量：3
2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.
3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.
4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.
5刘占宏,陶双平.分数次极大算子及交换子在Morrey空间上的加权估计[J].山东大学学报（理学版）,2024,59(6):108-115.
6杨雨荷,李巧霞,辛珍.极大算子在加权λ-中心Morrey空间上的加权估计[J].理论数学,2022,12(2):252-256.
7杨雨荷,辛珍,李巧霞,徐苏苏.带变量核分数次极大算子在λ-中心Morrey 空间上的加权估计[J].理论数学,2023,13(3):636-643.
8方光杰.双线性分数次积分算子在极大变指标 Herz空间上的有界性[J].理论数学,2023,13(4):917-934.
9刘占宏.分数次极大算子及交换子在加权Morrey空间上的有界性[J].理论数学,2023,13(7):2080-2092.

1LI Yaqing(Institute of Systems Science, Academia Sinica, Beijing 100080, China).A　PROPERTY　OF　PRODUCTS　OF　NEW　GENERALIZED　FUNCTIONS[J].Systems Science and Mathematical Sciences,1996,9(2):171-174.
2束立生,陈书权.Calderón-Zygmund奇异积分与RBMO(μ)交换子在Morrey空间上的有界性(英文)[J].安徽师范大学学报（自然科学版）,2007,30(3):209-213.
3周疆,江寅生,马柏林,李书宏,陈金阳.多线性Calderón-Zygmund在Herz-Morrey空间上的有界性[J].兰州大学学报（自然科学版）,2009,45(1):83-87. 被引量：2
4Li Zongwei,Yang Weifan,Zhao Zhizheng and Mu Wantong.Yield　of　Transtarget　Products　from　Interaction　of　47MeV／u　^（12）C　Ions　with　Cs　Targets[J].IMP & HIRFL Annual Report,1994(0):23-23.
5Kuang Jichang(Hunan Normal University. China).C-Z TYPE SINGULAR INTEGRAL OPERATORS ON WEIGHTEDHERZ-TYPE HARDY SPACES[J].Analysis in Theory and Applications,1999,15(1):83-91. 被引量：1
6Yang Yongfeng,Zhao Zhizheng,Li Zongwei,Zhu Shaofei,Cat Xicheng,Yang Weifan,Wu Wantong,Sun Tongyu,Wu Dingqing,Zhao Lin and Shi Lijun.Recoil Ranges of Near-target Products from 50MeV/u ^(18)O +^(197)Au[J].IMP & HIRFL Annual Report,1994(0):19-19.
7Wu Zhongli.Momentum　Distribution　of　Products　from　Transfer　and　Fragmentation　Transfer　and　Fragmentation[J].IMP & HIRFL Annual Report,1994(0):136-136.
8TAO 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
9Jingxuan Fang,Jiman Zhao.Variable Hardy Spaces on the Heisenberg Group[J].Analysis in Theory and Applications,2016,32(3):242-271.
10Yuan Jinyong Department of Mathematics University of Science and Technology of China Hefei, 230027 China.Spectra of Composition Operators on Lummer-Hardy Spaces[J].Acta Mathematica Sinica,English Series,1994,10(2):209-214.

Acta Mathematica Sinica,English Series

2012年第2期

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