On sequence space representations of Hörmander-Beurling spaces

[EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1 <= p <= infinity, k Beurling-Bjorck weight) extending a Hormander's result (the proof we give is valid in the vector-valued case, too). As a consequence, and using Vogt's representation theorems and weighted L-p-spaces of entire analytic functions, a number of results on sequence space representations of Hormander-Beurling are given. (C) 2008 Elsevier Inc. All rights reserved.