%0 Journal Article %T 带变量核的Marcinkiewicz积分算子在变指标Herz型Hardy空间上的有界性<br>Boundedness of Marcinkiewicz integrals operators with variable kernels on Herz-type Hardy spaces with variable exponent %A 辛银萍 %A 陶双平< %A br> %A XIN Yin-ping %A TAO Shuang-ping %J 山东大学学报(理学版) %D 2018 %R 10.6040/j.issn.1671-9352.0.2017.646 %X 摘要: 借助Marcinkiewicz积分在变指标Lebesgue空间的性质以及变指标Herz型Hardy空间上的原子分解理论,得到了带变量核的Marcinkiewicz积分算子在齐次及非齐次变指标Herz型Hardy空间上的有界性。<br>Abstract: Based on the boundedness of Marcinkiewicz integrals on variable Lebesgue spaces and the atomic decomposition of Herz-type Hardy spaces with variable exponent, we obtain the boundedness of Marcinkiewicz integrals with variable kernels on the homogeneous and non-homogeneous Herz-type Hardy spaces with variable exponent %K Herz型Hardy空间 %K 变指标 %K Marcinkiewicz积分 %K < %K br> %K Herz-type Hardy space %K variable exponent %K Marcinkiewicz integrals operator %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.646