中国科学院大学学报2021,Vol.38Issue(5):577-582,6.DOI:10.7523/j.issn.2095-6134.2021.05.001
带幂权Morrey空间上Hausdorff算子的最佳界
Sharp bound of Hausdorff operators on Morrey spaces with power weights
摘要
Abstract
In this paper,we calculate the norm of the Hausdorff operator HΦ defined on the Morrey space with power weights LP,λ(R n,| x | αdx) and the homogeneous central Morrey space with power weights BP,λ(Rn,| x |αdx),respectively.We also extend our results to the product Hausdorff operator.HnΦ.关键词
Hausdorff算子/乘积Hausdorff算子/Morrey空间Key words
Hausdorff operator/product Hausdorff operator/Morrey space分类
数理科学引用本文复制引用
张兴松,魏明权,燕敦验..带幂权Morrey空间上Hausdorff算子的最佳界[J].中国科学院大学学报,2021,38(5):577-582,6.基金项目
Supported by the National Nature Science Foundation of China (11871452),Project of Henan Provincial Department of Education(18A110028),and the Nanhu Scholar Program for Young Scholars of Xinyang Normal University (11871452)