Closed ideals in analytic weighted Lipschitz algebras

Abstract

We obtain a complete description of closed ideals in weighted Lipschitz algebras ${\Lambda }_{\omega }$ of analytic functions on the unit disk satisfying the following condition $$\frac{|f(z)-f(w)|}{\omega (|z-w|)}=o(1)(as|z-w|⟶0),$$ where $\omega$ is a modulus of continuity satisfying some regularity conditions.

22 pages