WEIGHTED ESTIMATE FOR THE MULTILINEAR OSCILLATORY SINGULAR INTEGRAL OPERATORS 被引量：1

WEIGHTED ESTIMATE FOR THE MULTILINEAR OSCILLATORY SINGULAR INTEGRAL OPERATORS

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摘要 In this paper, the weighted Lp(Rn) boundedness for the multilinear oscillatory singular integral operators with polynomial phases is studied. In this paper, the weighted Lp(Rn) boundedness for the multilinear oscillatory singular integral operators with polynomial phases is studied.

作者 LiuMingju JiangYinsheng

机构地区 LMIB＆BeihaugUniversity XinjiangUniversity

出处《Analysis in Theory and Applications》 2005年第1期90-100,共11页 分析理论与应用（英文刊）

基金 Supported by Natural Science Foundation of China, No. 19871071.

关键词 multilinear operator oscillatory integral Herz space power weight BMO multilinear operator, oscillatory integral, Herz space, power weight, BMO

分类号 O177.6 [理学—基础数学]

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参考文献1

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共引文献7

1伍火熊.A LIPSCHITZ ESTIMATE FOR MULTILINEAR OSCILLATORY SINGULAR INTEGRALS WITH ROUGH KERNELS[J].Acta Mathematica Scientia,2005,25(4):761-770. 被引量：2
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同被引文献5

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引证文献1

1李宝德,曹辉.多线性算子在Herz-Morrey空间上的有界性(英文)[J].新疆大学学报（自然科学版）,2006,23(1):29-33.

1LuShanzhen XuLifang.BOUNDEDNESS OF COMMUTATORS RELATED TO MARCINKIEWICZ INTEGRALS ON HARDY TYPE SPACES[J].Analysis in Theory and Applications,2004,20(3):215-230. 被引量：5
2TaoGuiping.BOUNDEDNESS OF MULTILINEAR OPERATORS ON WEIGHTED HERZ TYPE SPACES[J].Analysis in Theory and Applications,2005,21(1):73-89.
3QiangWU DaChunYANG.Boundedness of Multilinear Operators on Herz Type Spaces: Extreme Cases[J].Acta Mathematica Sinica,English Series,2005,21(1):81-94. 被引量：1
4刘明菊,陆善镇.A WEIGHTED ESTIMATE OF THE HORMANDER MULTIPLIER ON THE HEISENBERG GROUP[J].Acta Mathematica Scientia,2006,26(1):134-144. 被引量：1
5LANSen-hua,LIRui.A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups[J].Chinese Quarterly Journal of Mathematics,2005,20(2):141-146.
6YU Xiao,ZHANG Hui-hui,ZHAO Guo-ping.Weighted boundedness of some integral operators on weighted λ-central Morrey space[J].Applied Mathematics(A Journal of Chinese Universities),2016,31(3):331-342. 被引量：5
7Gary Sampson.Some Oscillatory Singular Integrals on Herz-type Spaces (Ⅱ)[J].Acta Mathematicae Applicatae Sinica,2002,18(3):365-376.
8G.Sampson,XuJingshi.A NOTE TO OSCILLATORY SINGULAR INTEGRALS ON HERZ-TYPE SPACES[J].Analysis in Theory and Applications,2003,19(1):37-46.

Analysis in Theory and Applications

2005年第1期

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WEIGHTED ESTIMATE FOR THE MULTILINEAR OSCILLATORY SINGULAR INTEGRAL OPERATORS 被引量：1

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