Silke Holtmanns
- An operator representation for weighted spaces of vector valued holomorphic functions
(Postscript, 180985 Byte, Author: Klaus D. Bierstedt; Silke Holtmanns, Feb 17 1999)
For weighted spaces $HV(G)$ of holomorphic functions with
O-growth conditions and quasibarrelled spaces $E$ we prove the topological
isomorphism
$$HV(G,E'_b) = {cal L}_b(E,HV(G)).$$
Similarly, for two weighted spaces of holomorphic functions we derive
$$HV_1(G_1,HV_2(G_2)) = H(V_1 otimes V_2)(G_1 times G_2).$$
-The article is accepted for publication in Results Math.
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Datum : 16.07.01