Carleson's formula for some weighted Dirichlet spaces
We extend Carleson's formula to radially polynomially weighted Dirichlet spaces.
math.CV↗
arXiv subjects
Brahim Bouya
Publications and source records attributed to Brahim Bouya.
Weighted Big Lipschitz algebras of analytic functions and closed ideals
We give the smallest closed ideal with given hull and inner factor for some weighted big Lipschitz algebras of analytic functions.
math.FA↗
Outer functions in analytic weighted Lipschitz algebras
We give a complete description of outer functions in the analytic weighted Lipschitz algebras by their moduli in the boundary, with respect to any modulus of continuity.
math.CV↗
Closed ideals in analytic weighted Lipschitz algebras
We obtain a complete description of closed ideals in weighted Lipschitz algebras $Λ_ω$ of analytic functions on the unit disk satisfying the following condition $$\frac{|f(z)-f(w)|}{ω(|z-w|)}=o(1)\qquad(as |z-w| \longrightarrow 0),$$ where $ω$ is a modulus of continuity satisfying some regularity conditions.
math.CV↗
Closed ideals in some algebras of analytic functions
We obtain a complete description of closed ideals of the algebra $\mathcal{D}\cap \mathrm{lip}_α},$ $0<α\leq{1/2},$ where $\mathcal{D}$ is the Dirichlet space and $\mathrm{lip}_α}$ is the algebra of analytic functions satisfying the Lipschitz condition of order $α.$
math.CV↗