Bers-Orlicz Spaces on the Product Riemann Surface

作     者：Ma Jigang Department of Applied Mathematics Chengdu University of Science and Technology Chengdu,610065 China He Yuzan Institute of Mathematics Academia Sinica Beijing,100080 China 

作者机构：Department of Applied Mathematics Chengdu University of Science and Technology Chengdu China Institute of Mathematics Academia Sinica Beijing China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1994年第10卷第3期

页      面：249-259页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Nature Science Foundation of China 

主　　题：Bers Orlicz Spaces on the Product Riemann Surface 

摘      要：In this paper,the Bers-Orlicz spaces on the automorphic form A_α■(G)(or EA_α■(G)) and L_α■(G)(E_α■(G))on the product Riemann surfaces are *** prove that each f ∈A_α■(G) is a cusp *** f ∈A_α■(G),we give the reproducing ***,we give the projective operator P_αfrom L_α■(G) to A_α■(G)(or E_α■(G) to EA_α■(G)).After giving some fundamental properties of the Poincaréseries,we prove a dual theorem A_α■(G)=(EA_α■(G))~*.