International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 4, Pages 785-789

On a generalization of the corona problem

Graziano Gentili and Daniele C. Struppa

Scuola Normale Superiore, Piazza dei Cavalieri, 7, Pisa 56100 , Italy

Received 7 May 1985

Copyright © 1986 Graziano Gentili and Daniele C. Struppa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let g,f1,,fmH(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.