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Interpolation d'opérateurs entre espaces de fonctions holomorphes

Patrice Lassere (1991)

Annales Polonici Mathematici

Let K be a compact subset of an hyperconvex open set D n , forming with D a Runge pair and such that the extremal p.s.h. function ω(·,K,D) is continuous. Let H(D) and H(K) be the spaces of holomorphic functions respectively on D and K equipped with their usual topologies. The main result of this paper contains as a particular case the following statement: if T is a continuous linear map of H(K) into H(K) whose restriction to H(D) is continuous into H(D), then the restriction of T to H ( D α ) is a continuous...

Interpolation sets for Fréchet measures

J. Caggiano (2000)

Colloquium Mathematicae

We introduce various classes of interpolation sets for Fréchet measures-the measure-theoretic analogues of bounded multilinear forms on products of C(K) spaces.

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