1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
Schauder--Orlicz-Type Estimates for Divergence-Form Elliptic Equations with Lower-Order Terms
Jaouad Bourabiaa, Youssef Elmadani, Abdelouahab Hanine
Schauder Orlicz-type estimates are derived for weak solutions to second-order linear elliptic equations in divergence form with lower-order terms. The Orlicz setting is tre…
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…
Stochastic Aggregation Diffusion-Equation : Analysis via Dirichlet Forms
Jaouad Bourabiaa, Youssef Elmadani, Abdelouahab Hanine
In this article, we study the stochastic aggregation-diffusion equation with a singular drift represented by a monotone radial kernel. We demonstrate the existence and uniqueness o…
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…
Cyclicity and invariant subspaces in the Dirichlet spaces
Omar El-Fallah, Youssef Elmadani, Karim Kellay
Let be a positive finite measure on the unit circle and the associated Dirichlet space. The generalized Brown-Shields conjecture asserts that an outer functio…