M. El Kadiri

activity

20122023

most citedMaximal Plurifinely Plurisubharmonic functions

21 citations · 24 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.CV2023

A note on equality on plurifinely open sets of some complex Monge-Ampère measures

Mohamed El Kadiri

Our aim in this paper is to prove that if plurisubharmonic functions $u_{1}, ..., u_{n}$ , $v_{1}, ..., v_{n}$ in the domain of definition of the complex Monge-Ampère operator on a domai…

math.CV2023

A note on the structure of plurifinely open sets and the equality of some complex Monge-Ampère measures

Mohamed El Kadiri

In a recent preprint published on arXiv (see arXiv:2308.02993v2, referred here as \cite{NXH}), N.X. Hong stated that every plurifinely open set $U \subset C^{n}$ , $n \geq 1$ ,…

math.CV2023

Remarks on weak convergence of complex Monge-Ampère measures

Mohamed El Kadiri

Let $(u_{j})$ be a deaceasing sequence of psh functions in the domain of definition $D$ of the Monge-Ampère operator on a domain $Ω$ of $C^{n}$ such that $u = in f_{j} u_{j}$ i…

math.CV2022

An equality of Monge-Ampère measures

Mohamed El Kadiri

Let $u$ and $v$ be two plurisubharmonic functions in the domain of definition of the Monge-Ampère operator on a domain $Ω \subset C^{n}$ . We prove that if $u = v$ on a plurifinely…

math.CV2013★ 21 cited

Maximal Plurifinely Plurisubharmonic functions

Mohamed El Kadiri, Iris Marjan Smit

The main purpose of this paper is to introduce and study the notion of plurifinely-maximal plurifinely plurisubharmonic functions, which extends the notion of maximal plurisubharmo…

math.CV2012

Plurifinely Plurisubharmonic functions and the Monge Ampère Operator

Mohamed El Kadiri, Jan Wiegerinck

We will define the Monge-Ampère operator on finite (weakly) plurifinely plurisubharmonic functions in plurifinely open sets in complex n-space and show that it defines a positive m…