A duality theorem for interpolation methods associated to polygons

Cobos, Fernando; Fernández-Martínez, Pedro

doi:10.1090/S0002-9939-1994-1209420-6

A duality theorem for interpolation methods associated to polygons
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by Fernando Cobos and Pedro Fernández-Martínez PDF

Proc. Amer. Math. Soc. 121 (1994), 1093-1101 Request permission

Abstract:

We investigate dual spaces of interpolation spaces defined by means of polygons. We first show that dual spaces may fail to be intermediate spaces with respect to the dual N-tuple, and then we prove that dual spaces of J-spaces can be identified with closed subspaces of K-spaces generated by the dual N-tuple.

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