期刊论文详细信息
Journal of the Australian Mathematical Society | |
Biduals of weighted banach spaces of analytic functions | |
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
【 预 览 】
Files | Size | Format | View |
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RO201912040544473ZK.pdf | 502KB | download |