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math.CV2014★ 1 cited
Kernel estimate and capacity in Dirichlet type spaces
O. El-Fallah, Y. Elmadani, K. Kellay
Let be a positive finite measure on the unit circle. The Dirichlet type space , associated to , consists of holomorphic functions on the unit disc whose deri…
math.CV2010
Cantor sets and cyclicity in weighted Dirichlet spaces
Omar El-Fallah, Karim Kellay, Thomas Ransford
We treat the problem of characterizing the cyclic vectors in the weighted Dirichlet spaces, extending some of our earlier results in the classical Dirichlet space. The absence of a…