Characterizations of realized homogeneous Besov and Triebel-Lizorkin spaces via differences  

作　　者：MOUSSAI Madani 

机构地区：[1]Department of Mathematics, Laboratory of Functional Analysis and Geometry of Spaces, University of M'Sila

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2018年第2期188-208,共21页高校应用数学学报（英文版）（B辑）

摘　　要：Based on the role of the polynomial functions on the homogeneous Besov spaces, on the homogeneous Triebel-Lizorkin spaces and on their realized versions, we study and obtain characterizations of these spaces via difference operators in a certain sense.Based on the role of the polynomial functions on the homogeneous Besov spaces, on the homogeneous Triebel-Lizorkin spaces and on their realized versions, we study and obtain characterizations of these spaces via difference operators in a certain sense.

关 键 词：homogeneous Besov space homogeneous Triebel-Lizorkin space Nikol＇skij representation method REALIZATIONS Hardy estimates 

分 类 号：O177[理学—数学]