On a generalization of the corona problem

Autor: Gentili, Graziano, C. Struppa, Daniele
Zdroj: International Journal of Mathematics and Mathematical Sciences; 1986, Vol. 9 Issue: 1
Abstrakt: Let g,f1,…,fm∈H∞(Δ). We provide conditions on f1,…,fm in order that |g(z)|≤|f1(z)|+…+|fm(z)|, for all z in Δ, imply that g, or g2, belong to the ideal generated by f1,…,fm in H∞.
Databáze: Supplemental Index