Closed ideals in analytic weighted Lipschitz algebras

We obtain a complete description of closed ideals in weighted Lipschitz algebras Λω of analytic functions on the unit disk satisfying the following condition|f(z)−f(w)|ω(|z−w|)=o(1)(as |z−w|→0), where ω is a modulus of continuity satisfying some regularity conditions. In particular the closed ideals of the algebras Λχα, where χα(t):=1(|log(t)|+1)α, α>0, are standard and this answers Shirokov's question [N.A. Shirokov, Closed ideals of algebras of Bpqα-type, Izv. Akad. Nauk SSSR Mat. 46 (6) (1982) 1316-1333 (in Russian), p. 587].