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Autor:
Kadiri, Mohamed El
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-Amp\`ere operator on a domain set $D\subset \mathbb{C}^n$ ($n\geq 1$) are such that $u_1= v_1, .
Externí odkaz:
http://arxiv.org/abs/2310.10367
Autor:
Kadiri, Mohamed El
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 $U\subset \mathbb{C}^n$, $n\geq 1$, is of the form $U=\bigcup \{\varphi_j>-1\}$, where each $\phi_j$ is a
Externí odkaz:
http://arxiv.org/abs/2309.03391
Autor:
Kadiri, Mohamed El
Let $(u_j)$ be a deaceasing sequence of psh functions in the domain of definition $\cal D$ of the Monge-Amp\`ere operator on a domain $\Omega$ of $\mathbb{C}^n$ such that $u=\inf_j u_j$ is plurisubharmonic on $\Omega$. In this paper we are interested
Externí odkaz:
http://arxiv.org/abs/2301.09495
Autor:
Kadiri, Mohamed El
Let $u$ and $v$ be two plurisubharmonic functions in the domain of definition of the Monge-Amp\`ere operator on a domain $\Omega\subset {\bf C}^n$. We prove that if $u=v$ on a plurifinely open set $U\subset \Omega$ that is Borel measurable, then $(dd
Externí odkaz:
http://arxiv.org/abs/2207.13610
Autor:
El Kadiri, Mohamed
Publikováno v:
In Indagationes Mathematicae January 2024 35(1):28-36
Autor:
El Kadiri, Mohamed
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2023 519(2)
Autor:
Boutahar, Aboubakr, Gonzalez, Paloma Cariñanos, Picone, Rosa Maria, Crisafulli, Alessandro, Mesa, Joaquín Molero, Redouan, Fatima Zahrae, El Bakali, Ismail, Kadiri, Mohamed, Lamrani, Zouhaire, Merzouki, Abderrahmane
Publikováno v:
In Review of Palaeobotany and Palynology March 2023 310
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Autor:
Kadiri, Mohamed El
In this note we study the plurifinely locally maximal plurifinely plurisubharmonic functions and improve some known results on these functions. We prove in particular that any locally bounded plurifinely locally maximal plurifinely plurisubharmonic f
Externí odkaz:
http://arxiv.org/abs/1711.00966
We study the existence and the regularity of the biharmonic Green kernel in a Brelot biharmonic space whose associated harmonic spaces have Green kernels. We show by some examples that this kernel does not always exist. We then introduce and study th
Externí odkaz:
http://arxiv.org/abs/1606.06397