[EN] In this paper we introduce the variable exponent Hormander spaces and we study some of their properties. In particular, it is shown that is isomorphic to (Omega open set in and the Hardy-Littlewood maximal operator M ...
In this paper we characterize the dual $\bigl(\B^c_{p(\cdot)} (\Omega)
\bigr)'$ of the variable exponent H\"or\-man\-der space $\B^c_{p(\cdot)}
(\Omega)$ when the exponent $p(\cdot)$ satisfies the conditions $0 <
p^- ...
[EN] We show that the dual of the variable exponent Hörmander space is isomorphic to the Hörmander space (when the exponent satisfies the conditions , the Hardy-Littlewood maximal operator is bounded on for some and ...
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 ...
In this article we introduce the variable Lebesgue spaces of entire analytic functions Lp({dot operator})K. A maximal inequality of Jawerth is generalized to our context and inequalities of Plancherel-Polya-Nikol'skij type ...
[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 ...