Enrique Jordá

An optimal transportation problem with a cost given by the Euclidean distance plus import/export taxes on the boundary.

In this paper we analyze a mass transportation problem in a bounded domain in which there is the possibility of import/export mass across the boundary paying a tax in addition to the transport cost that is assumed to be given by the Euclidean distance. We show a general duality argument and for the dual problem we nd a Kantorovich poten- tial as the limit as p ! 1 of solutions to p-Laplacian type problems with nonlinear boundary conditions. In addition, we show that this limit en- codes all the relevant information for our problem. It provides the masses that are exported and imported from the boundary and also allows the construction of an optimal transport plan. Finally we show that the ar- guments can be adapted to deal with the case in which the mass that can be exported/imported is bounded by prescribed functions.

Vector-valued meromorphic functions

Abstract. A locally complete locally convex space E satisfies that every weakly meromorphic function defined on an open subset of

Stability of derivations under weak-2-local continuous perturbations

\mathbb{C}

Weighted Vector-Valued Holomorphic Functions on Banach Spaces

with values in E is meromorphic if and only if E does not contain a countable product of copies of

Topologies on spaces of vector-valued meromorphic functions

\mathbb{C}

Whitney extension operators without loss of derivatives

. A characterization of locally complete spaces in the spirit of known characterizations of the (metric) convex compactness property is also given.

Mean Ergodic Multiplication Operators on Weighted Spaces of Continuous Functions

Let

Extension of vector-valued holomorphic and harmonic functions

{\Omega}