Noureddine Ghiloufi

activity

20122025

collaborators

10 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…

Slices and m-Lelong numbers of m-subharmonic functions