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math.FA2026
Douglas Weighted Dirichlet Spaces: Analytic and Probabilistic Aspects
Jaouad Bourabiaa, Youssef Elmadani, Abdelouahab Hanine +2
We introduce a class of weighted Dirichlet spaces on the unit disk, called Douglas weighted Dirichlet spaces, characterized by the existence of a Douglas type boundary representati…
math.FA2021★ 1 cited
Square root problem and Subnormal Aluthge transforms
Hamza El Azhar, Abdelouahab Hanine, Kaissar Idrissi +1
For a non negative measure with atoms, we study the relation between the Square Root Problem of and the problem of subnormality of the Aluthge transform…
math.FA2012
Cyclic vectors in Korenblum type spaces
Abdelouahab Hanine
In this paper we use the technique of premeasures, introduced by Korenblum in the 1970-s, to give a characterization of cyclic functions in the Korenblum type spaces $\mathcal{A}_Λ…