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Remarks on interpolation of bilinear operators by methods associated to polygons

P. Fernández-Martínez — 2003

Bollettino dell'Unione Matematica Italiana

We study interpolation of bilinear operators by the polygons methods. We prove an interpolation theorem of type $K \times K$ into $K$ spaces, and show the optimality of the precedings results.

On reiteration and the behaviour of weak compactness under certain interpolation methods.

F. Cobos; P. Fernández-Martínez; A. Martínez — 1999

Collectanea Mathematica

This article deals with K- and J-spaces defined by means of polygons. First we establish some reiteration formulae involving the real method, and then we study the behaviour of weakly compact operators. We also show optimality of the weak compactness results.

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