Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces  

作　　者：Xingsong ZHANG Mingquan WEI Dunyan YAN Qianjun HE 

机构地区：[1]School of Mathematics,University of Chinese Academy of Sciences,Beijing 100049,China [2]School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China [3]School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China

出　　处：《Frontiers of Mathematics in China》2020年第1期215-223,共9页中国高等学校学术文摘·数学（英文）

基　　金：the National Natural Science Foundation of China(Grant No.11871452);the Project of Henan Provincial Department of Education(No.18A110028);the Nanhu Scholar Program for Young Scholars of XYNU.

摘　　要：We will prove that for 1<p<∞and 0<λ<n,the central Morrey norm of the truncated centered Hardy-Littlewood maximal operator Mcγequals that of the centered Hardy-Littlewood maximal operator for all 0<γ<+∞.When p=1 and 0<λ<n,it turns out that the weak central Morrey norm of the truncated centered Hardy-Littlewood maximal operator Mcγequals that of the centered Hardy-Littlewood maximal operator for all 0<λ<+∞.Moreover,the same results are true for the truncated uncentered Hardy-Littlewood maximal operator.Our work extends the previous results of Lebesgue spaces to Morrey spaces.

关 键 词：HARDY-LITTLEWOOD MAXIMAL FUNCTION TRUNCATED HARDY-LITTLEWOOD MAXIMAL FUNCTION MORREY norms weak MORREY norms 

分 类 号：O17[理学—数学]