Karim Kellay

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math.CV2008

On the Brown--Shields conjecture for cyclicity in the Dirichlet space

Omar El-Fallah, Karim Kellay, Thomas Ransford

Let $\cD$ be the Dirichlet space, namely the space of holomorphic functions on the unit disk whose derivative is square-integrable. We establish a new sufficient condition for a fu…

math.CV2008

Ideaux fermes d'algebres de Beurling analytiques sur le bidisque

B. Bouya, O. El-Fallah, K. Kellay

We study the closed ideal in the Beurling algebras $A_{α, β}^{+}$ of holomorphic function $f$ in the bidisc such that $\sum_{n,m\geq 0}|\hat{f}(n,m)|(1+n)^α(1+m)^β<+\infty…