Commutators of Fractional Maximal Functions on Orlicz Spaces over Non-Homogeneous Metric Spaces  

作　　者：Guanghui LU Xuemei LI 

机构地区：[1]College of Mathematics and Statistics,Northwest Normal University,Gansu 730070,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第6期782-794,共13页数学研究及应用（英文版）

基　　金：the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);Master Foundation of Northwest Normal University(Grant No.2022KYZZ-S121).

摘　　要：Let(X,d,μ)be a non-homogeneous metric measure space satisfying the geometrically doubling condition and the upper doubling condition.In this setting,the authors prove that the commutator M_(b)^(α)formed by b∈RBMO(μ)and the fractional maximal function M^((α))is bounded from Lebesgue spaces L^(p)(μ)into spaces L^(q)(μ),where 1/q=1/p-αforα∈(0,1)and p∈(1,1/α).Furthermore,the boundedness of the M_(b)^(α)on Orlicz spaces L^Φ(μ)is established.

关 键 词：Non-homogeneous metric measure space fractional maximal function COMMUTATOR space RBMO(μ) Orlicz space 

分 类 号：O177[理学—数学]