| 粗糙核Marcinkiewicz积分在Campanato空间的加权有界性 |
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| 引用本文： | 王婷婷,赵凯,邵帅,章迎春,杜宏彬.粗糙核Marcinkiewicz积分在Campanato空间的加权有界性[J].青岛大学学报(自然科学版),2011,24(2):15-19. |
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| 作者姓名： | 王婷婷 赵凯 邵帅 章迎春 杜宏彬 |
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| 作者单位： | 青岛大学数学科学学院,山东,青岛,266071 |
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| 摘 要： | 借助于Marcinkiewicz积分μΩ的加权L^p有界性的结论，使用经典的不等式估计，并应用加权Campanato空间的性质，本文证明了粗糙核Marcinkiewicz积分在加权Campanato空间的有界性。该结论补充了奇异积分算子的相关理论。
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| 关 键 词： | Marcinkiewicz积分 粗糙核 Campanato空间 权 有界性 |
Weighted Boundedness of Marcinkiewicz Integrals with Rough Kernels on Campanato Spaces |
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| WANG Ting-ting,ZHAO Kai,SHAO Shuai,ZHANG Ying-chun,DU Hong-bin.Weighted Boundedness of Marcinkiewicz Integrals with Rough Kernels on Campanato Spaces[J].Journal of Qingdao University(Natural Science Edition),2011,24(2):15-19. |
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| Authors: | WANG Ting-ting ZHAO Kai SHAO Shuai ZHANG Ying-chun DU Hong-bin |
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| Institution: | WANG Ting-ting,ZHAO Kai,SHAOShuai,ZHANG Ying-chun,DU Hong-bin(College of Mathematics,Qingdao University,Qingdao 266071,China) |
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| Abstract: | Based on the results of the boundedness of Marcinkiewicz integrals on weighted Lp spaces,by using the estimates of classical inequality and the properties of the weighted Campanato spaces,the boundedness of the Marcinkiewicz integrals μΩ with rough kernel on Campanato spaces is obtained.This result enriches the relevant concausions of the theory of singular integral operators. |
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| Keywords: | Marcinkiewicz integrals rough kernel Campanato space weighed boundedness |
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