Corona problems in spaces of entire functions with growth conditions
Titel:
Corona problems in spaces of entire functions with growth conditions
Auteur:
Gentili, Graziano Struppa, Daniele
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 9 (1987) nr. 1 pagina's 41-48
Jaar:
1987-10
Inhoud:
Let[image omitted] be the space of entire functions with growth conditions introduced by Hormander. If f…fm g belong to [image omitted] , let us consider the following condition:[image omitted] for some ε, C > 0. In this paper we prove, for a weight function [image omitted] and for and for q≥1, that (*) does not imply, in general, that g2-1/q (when defined) belongs to the ideal generated in [image omitted] We also find two different kinds of conditions on an m-tuple [image omitted] under which, if f1…,fmg satisfy (*), then g belongs to the ideal generated in [image omitted]
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