a1 FB 17, Mathematik Universität-GH-Paderborn Postfach 16 21 D-4790 Paderborn, Germany
a2 Department of Mathematical Sciences University of Arkansas Fayetteville, AR 72701, U.S.A.
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).
(Received October 31 1990)
(Revised September 02 1991)
1991 Mathematics subject classification (Amer. Math. Soc)