摘要
设(X,d,μ)是一个满足上双倍条件和几何双倍条件的非齐型度量测度空间.本文利用非齐型度量测度空间的性质和不等式技巧,借助于广义分数次积分算子在L^(p)空间上的有界性理论,证明了广义分数次积分算子及其交换子在非齐型度量测度Morrey-Herz空间上的有界性.
Let(X,d,u)be a non-homogeneous metric measure space,satisfying both the geometrical doubling and the upper doubling conditions.In this paper,by using the properties of non-homogeneous metric measure space and inequality technique,applying the theory of boundedness for generalized fractional integral operators on the L^(p)spaces,the authors proved that the generalized fractional integral operators and their commutators are bounded on MorreyHerz spaces with non-homogeneous metric measure.
作者
吴翠兰
束立生
WU Cuilan;SHU Lisheng(School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou,Jiangsu,221116,P.R.China;School of Mathematics and Statistics,Anhui Normal University,Wuhu,Anhui,241003,P.R.China)
出处
《数学进展》
CSCD
北大核心
2023年第4期693-704,共12页
Advances in Mathematics(China)
基金
江苏省自然科学基金资助项目(No.SBK20161158)