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变量核Marcinkiewicz积分及其交换子在变指标Morrey空间上的有界性 被引量:9

Boundedness of Marcinkiewicz Integrals and Commutators with Variable Kernel on Morrey Spaces with Variable Exponents
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摘要 利用变量核Marcinkiewicz积分算子μ_Ω在变指标Lebesgue空间上的有界性,证明了它们在变指标Morrey空间上的有界性.同时还得到了由μ_Ω与BMO函数b生成的交换子μ_Ω~b在变指标Morrey空间上的估计. In this paper,we using the boundednes results of Marcinkiewicz integrals with variable kernels and their commutators which generated by and BMO function b on Lebesgue spaces with variable exponents,the boundednes results are established on Morrey spaces with variable exponents.
作者 邵旭馗 陶双平 Shao Xukui;Tao Shuangping(School of Mathematics and Statistics,Long Dong University,Gansu Qingyang 745000;School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2018年第6期1067-1075,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(11561062) 甘肃省高等学校科研项目(2017A-100).
关键词 MARCINKIEWICZ积分 变指标Morrey空间 BMO(Rn)空间 变量核 Marcinkiewicz integrals Morrey spaces with variable exponent BMO(Rn) Variable kernel.
作者简介 通讯作者:邵姐馗
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