Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function

Magnus Carlehed; Urban Cegrell; Frank Wikström

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Reinhardt domains and the Gleason problem

Oscar Lemmers, Jan Wiegerinck (2001)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Trivial generators for nontrivial fibres

Linus Carlsson (2008)

Mathematica Bohemica

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Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in $ℂ^{n}$ where the fibre is nontrivial, has to exceed $n$ . This is shown not to be the case.

On the spectrum of A(Ω) and $H^{\infty} (Ω)$

Urban Cegrell (1993)

Annales Polonici Mathematici

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We study some properties of the maximal ideal space of the bounded holomorphic functions in several variables. Two examples of bounded balanced domains are introduced, both having non-trivial maximal ideals.