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Closed Ideals in Some Algebras of Analytic Functions

  Published:2009-04-01
 Printed: Apr 2009
  • Brahim Bouya
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Abstract

We obtain a complete description of closed ideals of the algebra $\cD\cap \cL$, $0<\alpha\leq\frac{1}{2}$, where $\cD$ is the Dirichlet space and $\cL$ is the algebra of analytic functions satisfying the Lipschitz condition of order $\alpha$.
MSC Classifications: 46E20, 30H05, 47A15 show english descriptions Hilbert spaces of continuous, differentiable or analytic functions
Bounded analytic functions
Invariant subspaces [See also 47A46]
46E20 - Hilbert spaces of continuous, differentiable or analytic functions
30H05 - Bounded analytic functions
47A15 - Invariant subspaces [See also 47A46]
 

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