Corona problems in spaces of entire functions with growth conditions
Gentili, Graziano; Struppa, Daniele; Gentili, Graziano; Scuola Normale Superiore; Struppa, Daniele; University of Maryland
Журнал:
Complex Variables, Theory and Application: An International Journal
Дата:
1987
Аннотация:
Let be the space of entire functions with growth conditions introduced by Hörmander. If f…f <sub>m</sub> g belong to , let us consider the following condition: for some ε, C > 0. In this paper we prove, for a weight function and for and for q⩾1, that (<sup>*</sup>) does not imply, in general, that g <sup>2</sup>−1/q (when defined) belongs to the ideal generated in We also find two different kinds of conditions on an m-tuple under which, if f <sub>1</sub>…,f <sub> m </sub> g satisfy (<sup>*</sup>), then g belongs to the ideal generated in
354.1Кб