| 一类振荡奇异积分算子在加权Herz空间的有界性 |
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| 引用本文： | 董鹏娟,赵凯,王永刚,刘素英. 一类振荡奇异积分算子在加权Herz空间的有界性[J]. 青岛大学学报(自然科学版), 2008, 21(3): 18-21 |
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| 作者姓名： | 董鹏娟 赵凯 王永刚 刘素英 |
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| 作者单位： | 青岛大学数学科学学院,山东,青岛,266071;青岛大学数学科学学院,山东,青岛,266071;青岛大学数学科学学院,山东,青岛,266071;青岛大学数学科学学院,山东,青岛,266071 |
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| 摘 要： | 对于一类具 μ-Calderón-Zygmund核的振荡奇异积分算子，已经得到了它的Lp（Rn）（1〈p〈∞）有界性，并且利用权函数的性质，又证明了它的加权Lp有界结果。这里借助于Herz空间的分解理论，证明了此类推广的具 μ-Calderón-Zygmund核的振荡奇异积分算子在非齐次加权Herz空间的有界性。
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| 关 键 词： | 振荡奇异积分 μCalderónZygmund核 Herz空间 权函数 |
Boundedness of a Class of Oscillatory Singular Integral Operators on Weighted Herz Spaces |
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| DONG Peng-juan,ZHAO Kai,WANG Yong-gang,LIU Su-ying. Boundedness of a Class of Oscillatory Singular Integral Operators on Weighted Herz Spaces[J]. Journal of Qingdao University(Natural Science Edition), 2008, 21(3): 18-21 |
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| Authors: | DONG Peng-juan ZHAO Kai WANG Yong-gang LIU Su-ying |
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| Affiliation: | (College of Mathematics, Qingdao University, Qingdao 266071, China) |
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| Abstract: | The boundedness of a class of oscillatory singular integral with μ-Calderón-Zygmund kernel on Lp（Rn）（1〈p〈∞） was obtained. And by the property of weighted function, it was also obtained the weighted boundedness. The boundedness of the oscillatory singular integral with μ-Calderón-Zygmund kernel is proved using the decomposition theory of the Herz space in the inhomogeneous weighted Herz space. |
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| Keywords: | oscillatory singular integral μ-Calderón-Zygmund kernel herz space~ weighted function |
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