University of Sousse

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20062026

most citedCircular Antenna Array Design for Breast Cancer Detection

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math.CV2022★ 2 cited

Weighted Green functions for complex Hessian operators

Hadhami Elaini, Ahmed Zeriahi

Let $1 \leq m \leq n$ be two fixed integers. Let $Ω ⋐ C^{n}$ be a bounded $m$ -hyperconvex domain and $A \subset Ω \times] 0, + \infty [$ a finite set of weighted pol…

math.CV2019

Complex Hessian Operator associated to an $m$ -positive closed current and weighted $m$ -capacity

Hadhami Elaini, Fredj Elkhadhra

In this paper, we first study the definition and the continuity of the complex Hessian operator associated to an $m$ -positive closed current $T$ , for some classes of unbounded $m$ -…

math.CV2018

Lelong-Jensen formula, Demailly-Lelong numbers and weighted degree of positive supercurrents

Fredj Elkhadhra, Khalil Zahmoul

The goal of this work is to extend the concepts of generalized Lelong number of positive currents investigated by Skoda, Demailly and Ghiloufi in complex analysis, to weakly positi…

Weighted Green functions for complex Hessian operators

Complex Hessian Operator associated to an m-positive closed current and weighted m-capacity

Lelong-Jensen formula, Demailly-Lelong numbers and weighted degree of positive supercurrents

Complex Hessian Operator associated to an $m$ -positive closed current and weighted $m$ -capacity