We present a characterization of Banach function lattices with the Fatou property
generated by the interpolation sum applied to infinite families of Banach lattices with the Fatou
property. We also discuss the Köthe ...
[EN] We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove
that certain vector valued norm inequalities for these operators are equivalent to domination
theorems. As an application ...
[EN] We present a vector valued duality between factorable (q,p)-summing polynomials and (q,p)-summing linear operators on symmetric tensor products of Banach spaces. Several applications are provided. First, we prove a ...
[EN] We study some new summability properties of multilinear operators. We introduce the concepts of phi-summing, phi semi-integral and phi-dominated multilinear maps generated by Orlicz functions. We prove a variant of ...
We study the Kothe dual spaces of Banach function lattices generated by abstract methods having roots in the theory of interpolation spaces. We apply these results to Banach spaces of integrable functions with respect to ...
[EN] The main purpose of this paper is the study of a new class of summing mul-tilinear operators acting from the product of Banach lattices with some nontrivial lattice convexity. A mixed Pietsch-Maurey-Rosenthal type ...
[EN] Consider two continuous linear operators T: X-1 (mu) -> Y-1 (nu) and S: X-2 (mu) -> Y-2 (nu) between Banach function spaces related to different sigma-finite measures mu and nu. By means of weighted norm inequalities ...
[EN] We prove that under adequate geometric requirements, translation invariant mappings between vector-valued quasi-Banach function spaces on a locally compact group G have a bounded extension between Kothe-Bochner spaces ...