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Physical Sciences and Mathematics Commons

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Mathematics

Mathematics, Physics, and Computer Science Faculty Articles and Research

1986

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Full-Text Articles in Physical Sciences and Mathematics

On A Generalization Of The Corona Problem, Graziano Gentili, Daniele C. Struppa Jan 1986

On A Generalization Of The Corona Problem, Graziano Gentili, Daniele C. Struppa

Mathematics, Physics, and Computer Science Faculty Articles and Research

Let g, fl,...., fm EH (A). We provide conditions on fl,...,fm in order that Ig(z) lIfi(z)l+...+Ifm (z)I, for all z in 4, imply that g, or g2, belong to the ideal generated by fl,....,fm in H.