Closed ideals in some algebras of analytic functions

Abstract

We obtain a complete description of closed ideals of the algebra $\mathcal{D}\cap \mathrm{lip}_α},$ $0<\alpha \le 1/2,$ where $\mathcal{D}$ is the Dirichlet space and $\mathrm{lip}_α}$ is the algebra of analytic functions satisfying the Lipschitz condition of order $\alpha .$

19 pages