New Characterization of Morrey–Herz Spaces and Morrey–Herz–Hardy Spaces with Applications to Various Linear Operators  

作　　者：Kwok Pun Ho Yoshihiro Sawano 

机构地区：[1]Department of Mathematics and Information Technology,The Education University of Hong Kong,10 Lo Ping road,Hong Kong,China [2]Department of Mathematics,Graduate School of Science and Engineering,Chuo University,13–27 Kasuga 1-chome,Bunkyoku,Tokyo,Japan

出　　处：《Acta Mathematica Sinica,English Series》2025年第1期327-354,共28页数学学报(英文版)

基　　金：supported by Japan Society for the Promotion of Science(Grant No.23K03156)。

摘　　要：This paper is an offspring of the previous study on Herz spaces.A new characterization of Morrey–Herz spaces is given.As applications,the boundedness of various operators is obtained.For example,higher-order commutators generated by singular integral operators and BMO functions are proved to be bounded on Morrey–Herz spaces.The theory of Morrey–Herz–Hardy spaces is also developed.

关 键 词：Herz spaces WEIGHTS Hardy spaces 

分 类 号：O177[理学—数学]