Uniform algebras and analytic multi­functions

Slodkowski, Zbigniew

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 74 (1983), p. 9-18 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

Dati due elementi $f$ e $g$ in un'algebra uniforme $A$, sia $G=f(M_{A} / f(\partial_{A})$. Nella presente Nota si danno, fra l’altro, due nuove dimostrazioni elementari del fatto che la funzione $\lambda \to \log \max g (f^{-1} (\lambda))$ è subarmonica su $G$ e che l’applicazione $\lambda \to g (f^{-1} (\lambda))$ è analitica nel senso di Oka.

Détail

Publié le : 1983-07-01

MR 0780802 | Zbl 0596.46047

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