On a generalization of the corona problem

Graziano Gentili and Daniele C. Struppa

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-5

Abstract:

Let g , f 1 , … , f m ∈ H ∞ ( Δ ) . We provide conditions on f 1 , … , f m in order that | g ( z ) | ≤ | f 1 ( z ) | + … + | f m ( z ) | , for all z in Δ , imply that g , or g 2 , belong to the ideal generated by f 1 , … , f m in H ∞ .

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:875052

DOI: 10.1155/S0161171286000959

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