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带变量核的参数型Marcinkiewicz积分的BMO估计 被引量:2

BMO Estimates of parametric Marcinkiewicz integral with variable kernel
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摘要 研究了带变量核的参数型Marcinkiewicz积分μ_Ω~ρ的有界性.利用核函数Ω及BMO(Rn)空间的性质,得到了带变量核的参数型Marcinkiewicz积分μ_Ω~ρ在BMO(Rn)空间上的有界性. The boundedness of the parametric Marcinkiewicz integral μΩ~ρ with variable kernels is studied.By using the properties of the kernel functionΩ(x,z)and BMO(Rn)space,the boundedness of the parametric Marcinki-ewicz integral with variable kernels μΩ~ρ on BMO(Rn)space is obtained.
作者 邵旭馗 王素萍 SHAO Xu-kui, WANG Su-ping(School of Mathematics and Statistics, Long Dong University, Qingyang 745000, Chin)
出处 《兰州理工大学学报》 CAS 北大核心 2018年第3期155-158,共4页 Journal of Lanzhou University of Technology
基金 国家自然科学基金(11161042 11561062) 甘肃省高等学校科研项目(2017A-100)
关键词 参数型MARCINKIEWICZ积分 BMO(R^n)空间 变量核 parametric Marcinkiewicz integral BMO( R^n ) space variable kernel
作者简介 邵旭馗(1979-),男,甘肃天水人,副教授.
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