Closed ideals in analytic weighted Lipschitz algebras

Details Closed ideals in analytic weighted Lipschitz algebras Closed ideals in analytic weighted Lipschitz algebras

2008-02-06

arxiv.org/abs/0802.0892v1

Mathematics

Complex Variables

22 pages

Scientific paper

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 $$\frac{|f(z)-f(w)|}{\omega(|z-w|)}=o(1)\qquad(as |z-w|
\longrightarrow 0),$$ where $\omega$ is a modulus of continuity satisfying some
regularity conditions.

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