一类多线性积分算子在Triebel-Lizorkin空间上的连续性

Continuity of multilinear operators on Triebel-Lizorkin space

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摘要对一类相关于非卷积型算子的多线性算子,证明了其在Triebel-Lizorkin空间上的连续性,该算子包括Littewood-Paley算子和Marcinkiewicz算子. The continuity for some multilinear operators related to certain convolution operators on the TfiebelLizorkin space are obtained. These operators include Littlewood-Paley operator and Marcinkiewicz operator.

作者周肖沙

机构地区长沙理工大学数学与计算科学学院

出处《长沙交通学院学报》 2008年第2期96-101,共6页 Journal of Changsha Communications University

基金国家自然科学基金资助项目(10671117)

关键词多线性算子 TRIEBEL-LIZORKIN空间 LITTLEWOOD-PALEY算子 Marcinkiewicz算子 multilinear operator Triebel-Lizorkin space Littlewood-Paley operator Marcinkiewicz operator

分类号 O174.3 [理学—基础数学]

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参考文献10

1Coifman R, Rochberg R, Weiss G. Factorization theorems for Hardy spaces in several variables[J]. Annals of Mathematics, 1976,103:611 -635.
2Chanillo S. A note on commutators [ J ]. Indiana University Mathematical Journal, 1982,31 : 7 - 16.
3Janson S. Mean oscillation and commutators of singular integral operators [ J ]. Arkiv Mathematica, 1978,16:263 -270.
4Paluszynski M. Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss [J]. Indiana University Mathematical Journal, 1995,44 : 1 - 17.
5Stein E M. Harmonic analysis: Real variable methods, orthogonality and oscillatory integrals [ M ]. Princeton NJ: Princeton University, 1993.
6Torehinsky A. The real variable methods in harmonic analysis, pure and applied mathematics 123 [ M ]. New York: Academic Press, 1986.
7Torchinsky A, Wang S. A note on the Marcinkiewlcz integral[J ]. Colloqum Mathematics, 1990,60/61:235 -243.
8Alvarez J, Babgy R J, Kurtz D S, et al. Weighted estimates for commutators of linear operators [ J ]. Studia Mathematica, 1993,104:195 -209.
9Wengu Chen Department of Mathematics, Capital Normal University. Beijing 100037. P. R. China.A Besov Estimate for Multilinear Singular Integrals[J].Acta Mathematica Sinica,English Series,2000,16(4):613-626. 被引量：6
10Cohen J, Gosselin J. A BMO estimate for multilinear singular integral operators [ J ]. Illinois Journal Mathematics, 1986, 30:445 - 465.

二级参考文献1

1吴锵金,林绥,等.THE CRYSTAL AND MOLECULAR STRUCTURE OF TRIPTONIDE[J].Chinese Journal of Structural Chemistry,1992,11(1):55-57. 被引量：1

共引文献5

1吴强.Lipschitz Estimates for Multilinear Singular Integrals[J].Northeastern Mathematical Journal,2003,19(4):351-365. 被引量：1
2伍火熊.A LIPSCHITZ ESTIMATE FOR MULTILINEAR OSCILLATORY SINGULAR INTEGRALS WITH ROUGH KERNELS[J].Acta Mathematica Scientia,2005,25(4):761-770. 被引量：2
3Dazhao Chen.Boundedness on Triebel-Lizorkin and Lebesgue Spaces of Multilinear Singular Integral Operators Satisfying a Variant of Hormander’s Condition[J].Analysis in Theory and Applications,2022,38(3):322-334.
4谌稳固,陆善镇.一个多线性振荡奇异积分的变形#函数估计(英文)[J].数学进展,2003,32(6):665-676.
5陆善镇,孟岩,吴强.LIPSCHITZ ESTIMATES FOR MULTILINEAR SINGULAR INTEGRALS,Ⅱ[J].Acta Mathematica Scientia,2004,24(2):291-300. 被引量：3

1刘岚喆,陆善镇.一类多线性积分算子的端点有界性[J].数学学报（中文版）,2006,49(5):961-972. 被引量：2
2吕志军,刘岚喆.多线性积分算子在Triebel-Lizorkin和Lebesgue空间的有界性[J].周口师范学院学报,2007,24(5):17-23.
3闫健,束立生.带变量核的Marcinkiewicz算子交换子在加权Herz空间上的有界性[J].数学杂志,2014,34(3):529-538.
4吕志军,刘岚喆.多线性积分算子的Sharp加权不等式[J].湖南科技学院学报,2007,28(4):1-5.
5谌稳固,胡国恩.一个多线性奇异积分的弱型(H^1,L^1)估计(英文)[J].数学进展,2001,30(1):63-69. 被引量：10
6梅婷,丁勇,马柏林.多线性算子族的α-Carleson测度[J].数学学报（中文版）,2015,58(4):593-600.
7XIAO Dan,SHU Li-sheng.Marcinkiewicz Integrals on the Weighted Herz-Morrey Spaces[J].Chinese Quarterly Journal of Mathematics,2008,23(4):533-539. 被引量：1
8王桦.Marcinkiewicz算子的多线性交换子的Lipschitz估计[J].数学物理学报（A辑）,2014,34(4):977-991.
9叶晓峰,王蒙,胡媛媛.Marcinkiewicz算子及交换子在非齐型空间上的有界性[J].华东交通大学学报,2013,30(5):87-91. 被引量：1
10李亮,周疆.非倍测度下Marcinkiewicz积分交换子在Hardy空间中的有界性[J].高校应用数学学报（A辑）,2013,28(2):145-153. 被引量：4

长沙交通学院学报

2008年第2期

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一类多线性积分算子在Triebel-Lizorkin空间上的连续性

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