Bounded Projections and Duality on Spaces of Holomorphic Functions in the Unit Ball of (?)~n
Bounded Projections and Duality on Spaces of Holomorphic Functions in the Unit Ball of ■~n作者机构:Department of Mathematics Fudan University Shanghai People's Republic of China Department of Mathematics Hunan Normal University Changsha People's Republic of China
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:1995年第11卷第1期
页 面:29-36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 in part by the National Natural Science Foundation of China
主 题:Bounded Projections and Duality on Spaces of Holomorphic Functions in the Unit Ball of Math Ball
摘 要:In this paper three Banach spaces A(ф),A(ф)and A~1(ф)of functions holomor- phic in the unit ball B of ■~n are *** exhibit bounded projections from C(B)onto A(ф),from L~1(B)onto A~1(ф),and from L~∞(B)onto A(ф).Using these projections,we show that A(ф)~*≌A~1(ф)and A~1(ф)~*≌A(ф).