DISCRETE CHARACTERIZATION OF THE PALEY-WIENER SPACE WITH SEVERAL VARIABLES  

作　　者：陈广贵 房艮孙 

机构地区：[1]Department of Mathematics,Beijing Normal University,Beijing 100875,China

出　　处：《Acta Mathematicae Applicatae Sinica》2000年第4期396-404,共9页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China (19671012) ;Doctoral Programme institution of Higher Education Foundation

摘　　要：In this paper, we obtain a characterization of the Paley-Wiener space with several variables, which is denoted by Bπ,p(Rn), 1≤p<∞, i.e., for 1<p<∞, Bπ,p(Rn) is isomorphic to lp(Zn), and for p=1, Bπ,1(Rn) is isomorphic to the discrete Hardy space with several variables, which is denoted by H(Zn).In this paper, we obtain a characterization of the Paley-Wiener space with several variables, which is denoted by Bπ,p(Rn), 1≤p<∞, i.e., for 1<p<∞, Bπ,p(Rn) is isomorphic to lp(Zn), and for p=1, Bπ,1(Rn) is isomorphic to the discrete Hardy space with several variables, which is denoted by H(Zn).

关 键 词：Discrete Hilbert transform Paley-Wiener space with several variables discrete Hardy space with several variables 

分 类 号：O1[理学—数学]