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Artículo
Complex Interpolation of Operators and Optimal Domains
(Springer, 2014)
Let X0 and X1 be two order continuous Banach function spaces on a finite measure space, (E0, E1) a Banach space interpolation pair, and T : X0 + X1 → E0 + E1 an admissible operator between the pairs (X0, X1) and (E0, ...
Artículo
Weighted Hardy inequalities, real interpolation methods and vector measures
(Springer, 2014)
We analyze the relationship of the Ariño–Muckenhoupt weights with the K - spaces obtained when the real interpolation method defined by a parameter function is applied to the pairs (L 1 , L∞) and (L 1,∞, L∞) of function ...
Artículo
Optimal extensions for positive order continuous operators on Banach functions spaces
(Cambridge University Press, 2014)
In this paper we give conditions under which a positive order continuous operator T defined on a Banach function space can be extended, preserving the order continuity in a certain optimal way. The optimal domain for T ...