We introduce the new class of the (p;p1,...,pm; s)-absolutely continuous operators, that is defined using a summability property that provides the multilinear version of the (p, s)-absolutely continuous operators. We give ...
[EN] It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear ...
In this paper we study the ideal of dominated
(p,s)-continuous polynomials, that extend
the nowadays well known ideal of
p-dominated polynomials to the more general setting
of the interpolated ideals of polynomials. ...
[EN] Let (X,d) be a pointed metric space. Let T : X ¿ Y1(µ) and S : X ¿ Y2(µ) be two Lipschitz operators into two Banach function spaces Y1 and Y2 over the same finite measure µ. We show which are the vector norm inequalities ...
Achour, D.; Dahia, E.; Rueda, P.; Sánchez Pérez, Enrique Alfonso(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2014-12)
We introduce the new ideal of strongly-continuous linear operators in order to study the adjoints of the -absolutely continuous linear operators. Starting from this ideal we build a new multi-ideal by using the composition ...