Biduals of weighted banach spaces of analytic functions

Journal of the Australian Mathematical Society

K. D. Bierstedt¹ 

[1] W. H. Summers

关键词: 46 E 15;    46 A 70;    46 B 10;   

DOI  :  10.1017/S1446788700036983

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

For a positive continuous weight function ν on an open subset G of CN, let Hv(G) and Hv0(G) denote the Banach spaces (under the weighted supremum norm) of all holomorphic functions f on G such that ν f is bounded and ν f vanishes at infinity, respectively. We address the biduality problem as to when Hν(G) is naturally isometrically isomorphic to Hν0(G)**, and show in particular that this is the case whenever the closed unit ball in Hν0(G) in compact-open dense in the closed unit ball of Hν(G).

【 授权许可】

Unknown