O. El-Fallah

activity

20082026

most citedContact points and Schatten composition operators

5 citations · 8 across the 15 of their papers we have counts for

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5 papers · 1 filter

math.CA2026

Extremal functions and zero sets for the Dirichlet space

Alexander Borichev, Omar El-Fallah, Karim Kellay

We study the zeros of functions in the Dirichlet space. Using extremal functions, we produce a necessary and sufficient condition for a sequence of points in the unit disk to be a…

math.CA2026

The local Dirichlet integral and applications

Omar El-Fallah, Karim Kellay, Houssame Mahzouli

We study the local Dirichlet integral of distance functions and their behavior within the harmonic Dirichlet space. We provide estimates for the local Dirichlet integral of distanc…

math.CA2021

On singular values of Hankel operators on Bergman spaces

M. Bourass, O. El-Fallah, I. Marrhich +1

In this paper, we study the behavior of the singular values of Hankel operators on weighted Bergman spaces $A_{ω_{φ}}^{2}$ , where $ω_{φ} = e^{- φ}$ and $φ$ is a subharmonic function. We co…

math.CA2021

Trace estimates of Toeplitz operators on Bergman spaces and applications to composition operators

Omar EL-Fallah, Mohamed El Ibbaoui

Let $Ω$ be a subdomain of $C$ and let $μ$ be a positive Borel measure on $Ω$ . In this paper, we study the asymptotic behavior of the eigenvalues of compact Toeplitz operat…

math.CA2010

Cyclicity of singular inner functions from the corona theorem

Omar El-Fallah, Karim Kellay, Kristian Seip

Carleson's corona theorem is used to obtain two results on cyclicity of singular inner functions in weighted Bergman-type spaces on the unit disk. Our method proof requires no regu…