乘积型Morrey空间中乘积Hardy型算子的最佳界  

Sharp Bounds for Product Hardy-type Operators on Product Morrey Spaces

作　　者：张兴松 燕敦验 魏明权 ZHANG Xingsong;YAN Dunyan;WEI Mingquan(School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing,100049,P.R.China;RDFZ Chaoyang School,Beijing,100028,P.R.China;School of Mathematics and Statistics,Xinyang Normal University,Xinyang,Henan,464000,P.R.China)

机构地区：[1]中国科学院大学数学科学学院,北京100049 [2]中国人民大学附属中学朝阳学校,北京100028 [3]信阳师范学院数学与统计学院,信阳河南464000

出　　处：《数学进展》2021年第2期168-176,共9页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11871452);Natural Science Foundation of Henan Province of China(No.202300410338);Project of Henan Provincial Department of Education(No.18A110028);the Nanhu Scholar Program for Young Scholars of Xinyang Normal University。

摘　　要：本文得到了乘积Hardy型算子Hm在乘积Morrey空间L^(q,λ)(R^(n)×…×R^(n))和齐次中心Morrey空间B^(q,λ)(R^(n)×…×R^(n))上的算子范数.基于旋转方法,我们推广了傅尊伟等人的结果(见[Houston J.Math.,2012,38(1):225-244]).In this paper,we obtain the operator norm of the product Hardy-type operator Hm defined on product Morrey space L^(q,λ)(R^(n)×···×R^(n))and homogeneous central Morrey space B^(q,λ)(R^(n)×…×R^(n)).Our results base on a rotation method and extend the results of Fu et al.[Houston J.Math.,2012,38(1):225-244].

关 键 词：Hardy型算子 乘积Morrey空间 最佳界 

分 类 号：O174.2[理学—数学]