2 citations · 2 across the 5 of their papers we have counts for
5 papers
-potential theory and -generalized Lelong numbers associated with -positive supercurrents
Fredj Elkhadhra, Khalil Zahmoul
In this study, we first define the local potential associated to a weakly positive closed supercurrent in analogy to the one investigated by Ben Messaoud and El Mir in the complex…
Complex Hessian Operator associated to an -positive closed current and weighted -capacity
Hadhami Elaini, Fredj Elkhadhra
In this paper, we first study the definition and the continuity of the complex Hessian operator associated to an -positive closed current , for some classes of unbounded -…
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…
Complex Hessian Operator, -capacity, Cegrell's classes and -Potential associated to a Positive Closed Current
Abir Dhouib, Fredj Elkhadhra
In this paper we firstly introduce the concepts of capacity and Cegrell's classes associated to any -positive closed current . Next, after investigating the most imporant rel…
Poincaré-Lelong formula, -analytic subsets and Lelong numbers of currents on almost complex manifolds
Fredj Elkhadhra
In this paper, we first establish a Poincaré-Lelong type formula in the almost complex setting. Then, after introducing the notion of -analytic subsets, we study the restriction…