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具有变量核Marcinkiewicz积分交换子的CBMO估计 被引量:1

CBMO Estimates for Commutator of Marcinkiewicz Integrals with Variable Kernel
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摘要 本文讨论了当b∈CBMO_q(R^n)时,具有变量核的Marcinkiewicz积分交换子μ_(Ω,b)在Herz空间和Herz型Hardy空间中的有界性. In this paper,the boundedness of the opaeratorμ_(Ω,b) with variable kernel on the Herz spaces and Herz-type Hardy spaces is established,where b∈CBMO_q(R^n).
出处 《数学研究》 CSCD 2009年第1期75-84,共10页 Journal of Mathematical Study
基金 国家自然科学基金资助项目(10571156) 江西省自然科学基金(2008GZS0051) 江西师范大学博士启动基金(2443)
关键词 HERZ空间 HERZ型HARDY空间 MARCINKIEWICZ积分 变量核 Herz spaces Herz-type Hardy space Marcinkiewicz integral commutator variable kernel
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  • 1DING Yong, LU Shanzhen & ZHANG PuDepartment of Mathematics, Beijing Normal University, Beijing 100875, China,Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China.Weighted weak type estimates for commutators of the Marcinkiewicz integrals[J].Science China Mathematics,2004,47(1):83-95. 被引量:25
  • 2张璞,陈杰诚.一类带有变量核的积分算子在Herz型Hardy空间的有界性[J].数学年刊(A辑),2004,20(5):561-570. 被引量:12
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