Motos Izquierdo, Joaquín; Planells Gilabert, María Jesús(Elsevier, 2008)
[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 ...
[EN] It is proved that Hormander Bp,kloc (Omega 1 x Omega 2) and B-p,k1(loc) (Omega 1, B-p,k2(loc) (Omega(2))) spaces (Omega(1) subset of R-n, Omega(2) subset of R-m open sets, 1 <= p < infinity, k(i) Beurling-Bjorck ...
[EN] The weighted L p -spaces of entire analytic functions are generalized to the vector-valued setting. In particular, it is shown that the dual of the space LKp,¿(E) is isomorphic to L¿Kp¿,¿¿1(E¿) when the function ...
[EN] In this paper we prove a number of results on sequence space representations and embedding theorems of Hormander-Beurling spaces. As a consequence and using sharp results of Meise, Taylor and Vogt, a result of Kaballo ...