[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 ...
[EN] The expression of a biparabolic model to represent the dielectric relaxation data of polymers is combined with a statistical method (the LEVM6 program) to provide a reasonable estimation of the parameters of this ...
[EN] In this paper we characterize the dual (Bc
p(·) (Ω))′ of the variable exponent Hör-
mander space Bc
p(·) (Ω) when the exponent p(·) satisfies the conditions 0 < p− ≤ p+ ≤ 1,
the Hardy-Littlewood maximal operator ...
[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; Perez-Esteva, S.(Institute of Mathematics, Polish Academy of Sciences, 1999)
[EN] Define h(infinity)(E) as the subspace of C-infinity((B) over bar, E) consisting of all harmonic functions in B, where B is the ball in the n-dimensional Euclidean space and E is any Banach space. Consider also the ...
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 ...
Castillo, Jesús M.F.; Díaz, Juan C.; Motos Izquierdo, Joaquín(Springer-Verlag, 1998-06)
[EN] This paper contains a study of the structure of the Frechet space L-p- , 1 < P less than or equal to infinity, defined as the intersection of Lq[0, 1] for q < p, and endowed with the projective topology. The main ...
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 ...