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

作　　者：张兴松 魏明权 燕敦验 ZHANG Xingsong;WEI Mingquan;YAN Dunyan(School of Mathematical Sciences, University of Chinese Academy of Sciences,Beijing 100049, China;School of Mathematics and Statistics, Xinyang Normal University,Xinyang 464000, Henan, China)

机构地区：[1]中国科学院大学数学科学学院,北京100049 [2]信阳师范学院数学与统计学院,河南信阳464000

出　　处：《中国科学院大学学报（中英文）》2021年第5期577-582,共6页Journal of University of Chinese Academy of Sciences

基　　金：the National Nature Science Foundation of China(11871452);Project of Henan Provincial Department of Education(18A110028);the Nanhu Scholar Program for Young Scholars of Xinyang Normal University。

摘　　要：分别得到定义在带幂权Morrey空间Lp,λ(n,|x|αdx)和带幂权齐次中心Morrey空间B·p,λ(n,|x|αdx)上的Hausdorff算子HΦ的范数.并把这些结果推广到乘积Hausdorff算子HmΦ.In this paper,we calculate the norm of the Hausdorff operator HΦdefined on the Morrey space with power weights Lp,λ(n,|x|αdx)and the homogeneous central Morrey space with power weights B·p,λ(n,|x|αdx),respectively.We also extend our results to the product Hausdorff operator HmΦ.

关 键 词：Hausdorff算子 乘积Hausdorff算子 MORREY空间 

分 类 号：O177[理学—数学]