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math.CA2011
On zero sets in the Dirichlet space
Karim Kellay, Javad Mashreghi
We study the zeros sets of functions in the Dirichlet space. Using Carleson formula for Dirichlet integral, we obtain some new families of zero sets. We also show that any closed s…
math.CA2010
Cyclicity of singular inner functions from the corona theorem
Omar El-Fallah, Karim Kellay, Kristian Seip
Carleson's corona theorem is used to obtain two results on cyclicity of singular inner functions in weighted Bergman-type spaces on the unit disk. Our method proof requires no regu…