Noureddine Ghiloufi

activity

20112026

most citedOn the Lelong-Demailly numbers of plurisubharmonic currents

10 citations · 12 across the 12 of their papers we have counts for

collaborators

14 papers

math.CV2026

Slices and $m$ -Lelong numbers of $m$ -subharmonic functions

Hedi Khedhiri, Noureddine Ghiloufi

We investigate slicing properties of $m$ -subharmonic functions in product domains $Ω = Ω^{'} \times Ω^{''} \subset C^{n} = C^{p} \times C^{n - p}$ , where $p, m, n$ ar…

math.CV2026

Spectral properties of commutators on harmonic Bergman spaces of the unit disk

Khaled Chbichib, Noureddine Ghiloufi

In this paper, we determine the asymptotic behavior of the singular values of the commutator $C_{u} := [M_{u}, P_{α}]$ acting on $L^{2} (D, d A_{α})$ , where $M_{u}$ is…

math.CV2025

Spectral properties of the Cauchy transform on modified Bergman spaces

Khaled Chbichib, Noureddine Ghiloufi, Safa Snoun

In this paper, we determine the singular values $s_{n} (T_{α, β})$ and $s_{n} (R_{α, β})$ of the operators $T_{α, β} = C P_{α, β}$ and $R_{α,β}=\mathbb P_{α,β}\mathcal C\mathbb…

math.CV2024

Modified Bergman spaces on the unit ball of $C^{n}$ and applications

Hajer Ben Amor, Noureddine Ghiloufi

In this paper, we introduce new spaces of holomorphic functions on the unit ball $B_{n}$ of $C^{n}$ generalizing the classical Bergman spaces. The main results in…

math.CV2024

Berezin transforms on modified Bergman spaces

Noureddine Ghiloufi, Safa Snoun

In this paper we study the continuity of the Berezin transform on modified Bergman spaces and we establish a Lipschitz estimate in terms of the Bergman-Poincaré metric.

math.CV2023

Meromorphic Bergman spaces

Noureddine Ghiloufi, Mohamed Zaway

In this paper we introduce new spaces of holomorphic functions on the pointed unit disc of $C$ that generalize classical Bergman spaces. We prove some fundamental propertie…

math.CV2023

Asymptotic results on modified Bergman-Dirichlet spaces and examples of Segal-Bargmann transforms

Safa Snoun, Noureddine Ghiloufi

In this paper, we start by introducing the modified Bergman-Dirichlet space $D_{m}^{2} (D_{R}, μ_{α, β}^{R})$ and then we study its asymptotic behavior when the parameter $α$ …

math.CV2020

Zeros of new Bergman kernels

Noureddine Ghiloufi, Safa Snoun

In this paper we determine explicitly the kernels $K_{α, β}$ associated with new Bergman spaces $A_{α, β}^{2} (D)$ considered recently by the first author and M…

math.CV2017

Lelong numbers of $m -$ subharmonic functions

Amel Benali, Noureddine Ghiloufi

In this paper we study the existence of Lelong numbers of $m -$ subharmonic currents of bidimension $(p, p)$ on an open subset of $C^{n}$ , when $m + p \geq n$ . In the special case of…

math.CV2014★ 1 cited

Pluricomplex energy classes associated to a positive closed current

Jawhar Hbil, Mohamed Zaway, Noureddine Ghiloufi

The aim of this paper is to extend the domain of definition of $(d d^{c} \cdot)^{q} \land T$ on some classes of plurisubharmonic (psh) functions, which are not necessary bounded, wh…

math.CV2014

On the directional Lelong-Demailly numbers of positive currents

Mohamed Zaway, Haithem Hawari, Noureddine Ghiloufi

In this paper we study the existence of the directional Lelong-Demailly numbers of positive plurisubharmonic or plurisuperharmonic currents. We prove the independence of these numb…

math.CV2012

Existence of the directional tangent cone to a positive current

Haithem Hawari, Jawhar Hbil, Noureddine Ghiloufi

In this paper, we start by proving the existence of the strict transform of a positive current $T$ as soon as its $j^{t h}$ currents, $T_{j}$ , are plurisubharmonics or plurisuperharmo…

math.CV2011★ 1 cited

On the tangent cones to plurisubharmonic currents

Noureddine Ghiloufi, Khalifa Dabbek

In this paper, we study the existence of the tangent cone to a positive plurisubharmonic or plurisuperharmonic current with a suitable condition. Some Estimates of the growth of th…

math.CV2011★ 10 cited

On the Lelong-Demailly numbers of plurisubharmonic currents