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| 极大奇异积分算子的RBLO估计 | |
| 引用本文： | 全玉霞,高文华,江寅生. 极大奇异积分算子的RBLO估计[J]. 浙江大学学报(理学版), 2011, 38(5): 500-503. DOI: 10.3785/j.issn.1008-9497.2011.05.004 |
| 作者姓名： | 全玉霞 高文华 江寅生 |
| 作者单位： | 1. 新疆大学数学与系统科学学院,新疆乌鲁木齐,830046 2. 北京师范大学珠海分校应用数学学院,广东珠海,519085 |
| 基金项目： | supported by NSFC(Grant #10861010) |
| 摘 要： | 设μ是Rd上非负的Radon测度,且满足增长性条件.设有核为k（.,.）的极大Calderòn-Zygmund奇异积分算子,当k（.,.）满足一定条件时,极大Calderòn-Zygmund奇异积分算子是从RBMO（μ）到RBLO（μ）有界的. |
| 关 键 词： | 奇异积分算子 RBMO（μ） RBLO（μ） |
A RBLO estimate for maximal singular integral operator |
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| QUAN Yu-xia,GAO Wen-hua,JIANG Yin-sheng. A RBLO estimate for maximal singular integral operator[J]. Journal of Zhejiang University(Sciences Edition), 2011, 38(5): 500-503. DOI: 10.3785/j.issn.1008-9497.2011.05.004 | |
| Authors: | QUAN Yu-xia GAO Wen-hua JIANG Yin-sheng |
| Affiliation: | QUAN Yu-xia1,GAO Wen-hua2,JIANG Yin-sheng1*(1.College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China,2.School of Applied Mathematics,Beijing Normal University,Zhuhai 519085,Guangdong Province,China) |
| Abstract: | Let μ be a positive Radon measure and satisfy a growth condition on Rd.Considering maximal CalderónZygmund singular integral operator whose kernel is k(x,y).It is shown that if k( ·,· ) satisfies some size condition,Lipschitz condition and vanishing condition,maximal Calderón-Zygmund singular integral operator is bounded from RBMO(μ) into RBLO(μ). |
| Keywords: | singular integral operator RBMO(μ) RBLO(μ) |
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