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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.FA2026
Superharmonically Weighted Dirichlet Spaces
H. Bahajji-El Idrissi, O. El-Fallah, Y. Elmadani +1
In this paper, we consider weighted Dirichlet spaces $\cD_ω$, where is a positive superharmonic weight on the unit disc $\DD$. These spaces include the standard weighted Dirich…