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Sur une extension du problème de Gleason dans les domaines pseudoconvexes

Joaquin M. Ortega (1984)

Annales de l'institut Fourier

Dans cet article on montre que toute f A ( D ) a une décomposition f ( z ) - f ( w ) = i = 1 n g i ( z , w ) ( z i - w i ) avec g i A ( D × D ) pour les domaines pseudoconvexes à frontière réelle-analytique et aussi pour les domaines pseudoconvexes pour lesquels le résultat soit valable localement.

The equation ¯ u = f the intersection of pseudoconvex domains

Alessandro Perotti (1986)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Viene studiata l'equazione ¯ u = f per le forme regolari sulla chiusura dell'intersezione di k domini pseudoconvessi. Si costruisce un operatore soluzione in forma integrale e sotto ipotesi opportune si ottengono stime della soluzione nelle norme 𝐂 k .

The Levi problem for cohomology classes

Mihnea Coltoiu (1984)

Annales de l'institut Fourier

In this paper we extend to complex spaces and coherent analytic sheaves some results of Andreotti and Norguet concerning the extension of cohomology classes.

The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition

Martin Schottenloher (1976)

Annales de l'institut Fourier

It is proved that the Levi problem for certain locally convex Hausdorff spaces E over C with a finite dimensional Schauder decomposition (for example for Fréchet or Silva spaces with a Schauder basis) the Levi problem has a solution, i.e. every pseudoconvex domain spread over E is a domain of existence of an analytic function. It is also shown that a pseudoconvex domain spread over a Fréchet space or a Silva space with a finite dimensional Schauder decomposition is holomorphically convex and satisfies...

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