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

collaborators

18 papers

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.CV2022

Integration operators on Hardy and Bergman spaces

O. El Fallah, F. Mkadmi, Y. Omari

In the present work, we are interested in compact integration operators $I_{g} f (z) = \int_{0}^{z} f (ζ) g^{'} (ζ) d ζ$ acting on the Hardy space $H^{2}$ and on the weighted Bergman spaces $\mathc…

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.CV2019

Havin-Mazya type uniqueness theorem for Dirichlet spaces

Hafid Bahajji-El Idrissi, Omar El-Fallah, Karim Kellay

Let $μ$ be a positive finite Borel measure on the unit circle. The associated Dirichlet space $D (μ)$ consists of holomorphic functions on the unit disc whose derivatives…