数学杂志2016，Vol.36Issue(2)：353-364,12.
一类分数次次线性算子及其交换子在齐型空间上的弱Morrey-Herz空间上的有界性
BOUNDEDNESS OF FRACTIONAL SUB-LINEAR OPERATORS AND ITS COMMUTATORS ON WEAK MORREY-HERZ SPACES ON HOMOGENEOUS SPACE
摘要
Abstract
In this paper, we study the weak Boundedness of the sub-linear operators and its commutators on homogeneous spaces. Based on the properties of homogeneous spaces and the boundedness of sub-linear operators with the commutators generated by BMO and Lipschitz functions on weak Lp(X), the boundedness of the sub-linear operators and its commutators on weak Morrey-Herz spaces on homogeneous spaces are proved, which extend of the boundedness of the operators on Morrey-Herz spaces on homogeneous spaces.关键词
齐型空间/弱Morrey-Herz空间/次线性算子/交换子/BMO空间/Lipschitz空间Key words
homogeneous spaces/weak Morrey-Herz spaces/sub-linear operator/commu-tator/BMO spaces/Lipschitz spaces分类
数理科学引用本文复制引用
王丽娟..一类分数次次线性算子及其交换子在齐型空间上的弱Morrey-Herz空间上的有界性[J].数学杂志,2016,36(2):353-364,12.基金项目
国家自然科学基金资助(11161042) （11161042）
安徽省高校自然科学项目基金资助(KJ2011A138)和(KJ2012Z129) （KJ2011A138）
