On a generalization of the corona problem

[摘要] Letg,f1,…,fm∈H∞(Δ). We provide conditions onf1,…,fmin order that|g(z)|≤|f1(z)|+…+|fm(z)|, for allzinΔ, imply thatg, org2, belong to the ideal generated byf1,…,fminH∞.

[学科分类] 数学（综合）