4 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…
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…
Cyclicity in weighted Bergman type spaces
Alexander Borichev, Omar El-Fallah, Abdelouahab Hanine
We use the so called resolvent transform method to study the cyclicity of the one point mass singular inner function in weighted Bergman type spaces.