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Una nota sobre espacios de funciones continuas con valores vectoriales.

Joaquín Motos Izquierdo — 1983

Collectanea Mathematica

On Bell's duality theorem for harmonic functions

Joaquín Motos; Salvador Pérez-Esteva — 1999

Studia Mathematica

Define $h^{\infty} (E)$ as the subspace of $C^{\infty} (B ̅ L, E)$ 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 space $h^{- \infty} (E *)$ consisting of all harmonic E*-valued functions g such that ${(1 - | x |)}^{m} f$ is bounded for some m>0. Then the dual $h^{\infty} (E *)$ is represented by $h^{- \infty} (E *)$ through $⟨ f, g ⟩_{0} = l i m_{r \to 1} ʃ_{B} ⟨ f (r x), g (x) ⟩ d x$ , $f \in h^{- \infty} (E *), g \in h^{\infty} (E)$ . This extends the results of S. Bell in the scalar case.

Una nota sobre los espacios de Sobolev anisótropos vectoriales L (E)*.

Joaquín Motos Izquierdo; María Jesús Planells — 1987

Collectanea Mathematica

Una nota sobre espacios M-tonelados y espacios dual localmente completos.

Joaquín Motos Izquierdo; José L. Hueso — 1984

Collectanea Mathematica

A note on spaces of holomorphic vector valued functions with the strict topology.

Joaquín Motos Izquierdo; José L. Hueso — 1985

Collectanea Mathematica

Solution to a question of Grothendieck.

Jesús M. Fernández Castillo; Joaquín Motos — 1992

Extracta Mathematicae

This note is to bring attention to one of the ending questions in Grothendieck's thesis [3, Chapter 2, p. 134]: Is the space D_L^p isomorphic to s ⊗ L^p? The problem has been, as we shall see, essentially solved by Valdivia and Vogt. This fact, however, seems to have remained unnoticed. Supports this belief of the authors the fact that they have been unable to find an explicit reference to its solution.