非倍测度条件下由Marcinkiewicz积分与RBMO函数生成的交换子在Herz空间中的有界性(英文) 被引量：2

THE BOUNDEDNESS OF MARCINKIEWICZ INTEGRAL COMMUTATORS WITH NON-DOUBLING MEASURES IN HERZ SPACES

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摘要本文研究了非倍测度条件下的一类由Marcinkiewica积分与RBMO函数生成交换子的有界性.通过Marcinkiewica积分及该交换子在Lebesgue 空间中的有界性,得到了此交换子在Herz空间中的有界性. In this article, we study the boundedness of commutators generated by RBMO（μ） functions and a class of Marcinkiewicz integral. By means of the boudedness of Marcinkiewicz integral and the commutaters on Lebesgue space, we obtain the boundedness of the commutaters on Herz space with non-doubling measures.

作者张婧江寅生

机构地区新疆大学数学与系统科学学院伊犁师范学院数学系

出处《数学杂志》 CSCD 北大核心 2010年第6期966-972,共7页 Journal of Mathematics

基金 Supported by NFSC(10861010) Young Founbation of Yili Nomal University

关键词 HERZ空间 MARCINKIEWICZ积分交换子非倍测度 Herz spaces Marcinkiewicz integral commutator non-doubling measures

分类号 O174.2 [理学—基础数学]

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参考文献6

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