39 citations · 54 across the 27 of their papers we have counts for
33 papers
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…
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…
Cyclicity in Besov-Dirichlet spaces from the Corona Theorem
Yabreb Mohamed Egueh, Karim Kellay, Mohamed Zarrabi
Tolokonnikov's Corona Theorem is used to obtain two results on cyclicity in Besov-Dirichlet spaces.
Oversampling and Donoho-Logan type theorems in model spaces
Anton Baranov, Philippe Jaming, Karim Kellay +1
The aim of this paper is to extend two results from the Paley--Wiener setting to more generalmodel spaces. The first one is an analogue of the oversampling Shannon sampling formula…
The Littlewood problem and non-harmonic Fourier series
Philippe Jaming, Karim Kellay, Chadi Saba
In this paper, we give a direct quantitative estimate of norms of non-harmonic trigonometric polynomials over large enough intervals. This extends the result by Konyagin and M…
Multiple sampling and interpolation in Bergman spaces
Driss Aadi, Carlos Cruz, Andreas Hartmann +1
We study multiple sampling and interpolation problems with unbounded multiplicities in the weighted Bergman space, both in the hilbertian case p = 2 and the uniform case p = +$\inf…