| Weighted weak type estimates for commutators of the Marcinkiewicz integrals |
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| 作者姓名： | DING Yong LU Shanzhen & ZHANG Pu |
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| 作者单位： | DING Yong，LU Shanzhen & ZHANG Pu
Department of Mathematics，Beijing Normal University，Beijing 100875，China;
Department of Information and Computing Science，Zhejiang Institute of Science and Technology，Hangzhou 310033，China |
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| 基金项目： | 高等学校博士学科点专项科研项目，国家重点基础研究发展计划(973计划) |
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| 摘 要： | In this paper the authors give the weighted weak L logL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed.
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Weighted weak type estimates for commutators of the Marcinkiewicz integrals |
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| DING Yong,LU Shanzhen & ZHANG Pu.Weighted weak type estimates for commutators of the Marcinkiewicz integrals[J].Science in China(Mathematics),2004,47(1):83-95. |
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| Authors: | Email author" target="_blank">Yong?DingEmail author Shanzhen?Lu Pu?Zhang |
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| Institution: | 1. Department of Mathematics, Beijing Normal University, Beijing 100875, China
2. Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China |
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| Abstract: | In this paper the authors give the weighted weak L logL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed. |
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| Keywords: | Marcinkiewicz integral commutator Ap weight weak type estimate |
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