Closures of finitely generated ideals in Hardy spaces
Closures of finitely generated ideals in Hardy spaces
LetH∞ be the algebra of bounded analytic functions in the unit disk D. Let I=I(f1,..., fN) be the ideal generated by f1,..., fN∈H∞ and J=J(f1,..., fN) the ideal of the functions f∈H∞ for which there exists a constant C=C(f) such that |f(z)|≤C(|f1(z)|+...; +|fN(z)|), z∈D. It is clear that $I \subseteq …