安徽大学学报(自然科学版)2018,Vol.42Issue(2):54-59,6.DOI:10.3969/j.issn.1000-2162.2018.02.008
变量核Marcinkiewicz积分交换子在弱Herz空间上的有界性
Boundedness of Marcinkiewicz commutators with variable kernels on weak Herz spaces
摘要
Abstract
The boundness of the commutators μ bΩgenerated by Lipschitz functions and Marcinkiewicz integrals with variable kernels were discussed.By using the atomic decomposition theory and the properties of kernel function Ω,the boundedness of μ bΩfrom Herz-type Hardy space to weak Herz space was proved.关键词
Marcinkiewicz积分/Lipschitz函数/弱Herz空间/变量核Key words
Marcinkiewicz integral/Lipschitz function/weak Herz space/variable kernel分类
数理科学引用本文复制引用
邵旭馗,王素萍..变量核Marcinkiewicz积分交换子在弱Herz空间上的有界性[J].安徽大学学报(自然科学版),2018,42(2):54-59,6.基金项目
国家自然科学基金资助项目(11161402) (11161402)
甘肃省青年科技基金资助项目(1308RJYM024) (1308RJYM024)
甘肃省高等学校科研基金资助项目(2015A-147) (2015A-147)