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关于具有变量核的参数型Marcinkiewicz积分的有界性 被引量:1

The boundedness of the parameterized Marcinkiewicz integral with variable kernels
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摘要 研究了一类带变量核的参数型Marcinkiewicz积分在Herz型Hardy空间中的有界性,在假设核函数Ω满足一定的有界性条件下,利用Herz型Hardy空间的原子分解理论,确立了此类Marcinkiewicz积分在该空间是有界的. The parameterized Marcinkiewicz discussed. Under the hypothesis that the kernel integral with variable kernels on Herz-Hardy space was satisfied a certain condition, using the atom decomposition theorem on Herz-Hardy space, the boundedness of this Marcinkiewicz integral was established.
出处 《浙江师范大学学报(自然科学版)》 CAS 2010年第3期256-260,共5页 Journal of Zhejiang Normal University:Natural Sciences
基金 浙江师范大学青年基金项目(09045)
关键词 变量核 参数型MARCINKIEWICZ积分 HERZ型HARDY空间 原子 variable kernels Marcinkiewicz integral Herz-Hardy space atom
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