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}_\alpha}, $0<\alpha\leq{1/2},$ where $\mathcal{D}$ is the Dirichlet space and \mathrm{lip}_\alpha} is the algebra of analytic functions satisfying the Lipschitz condition of order $\alpha.$Comment: 19 page