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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.FA2008
Compact operators that commute with a contraction
Karim Kellay, Mohamed Zarrabi
Let be a --contraction on a separable Hilbert space. We assume that is compact. For a function holomorphic in the unit disk $\DD$ and continuous on $\bar\DD…