A Generalized Wolff's Ideal Theorem on Certain Subalgebras of $H^{\infty }(\mathbb{D})$

Abstract

We prove the generalized Wolff's Ideal Theorem on certain uniformly closed subalgebras of $H^{\infty }(\mathbb{D})$ on which the Corona Theorem is already known to hold.

Final version, to appear in Integral Equations and Operator Theory