Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Asserda, Saïd"'
In this paper, we introduce finite energy classes of quaternionic $m$-plurisubharmonic functions of Cegrell type and define the quaternionic $m$-Hessian operator on some Cegrell's classes. We use the variational approach to solve the quaternionic $m$
Externí odkaz:
http://arxiv.org/abs/2406.03985
In this paper, we introduce $m$-subharmonic functions in quaternionic space $\mathbb{H}^{n}$, we define the quaternionic Hessian operator and solve the homogeneous Dirichlet problem for the quaternionic Hessian equation on the unit ball with continuo
Externí odkaz:
http://arxiv.org/abs/2310.16774
Autor:
Asserda, Saïd, Assila, Fatima Zahra
We continue the study in \cite{As18, AAZ18} by giving a multitude of applications of projective logarithmic potentials. First we introduce the notions of projective logarithmic energy and capacity associated to projective kernel that was introduced a
Externí odkaz:
http://arxiv.org/abs/1908.00933
We study the projective logarithmic potential $G_\mu$ of a Probability measure $\mu$ on the complex projective space ${P}^{n}$ equiped with the Fubini-Study metric $\omega$. We prove that the Green operator $G $ has strong regularizing properties. It
Externí odkaz:
http://arxiv.org/abs/1803.03253
Autor:
Asserda, Said
Publikováno v:
Comptes Rendus Mathematique Volume 350, Issues 1-2, January 2012, Pages 41-44
For a smooth strictly plurisubharmonic function $u$ on a open set $\Omega\subset\mathbb{C}^{n}$ and $F$ a $C^{1}$ nondecreasing function on $\mathbf{R}^{*}_{+}$, we investigate the complex partial differential equations $$\Delta_{g}\log\det(u_{i\bar
Externí odkaz:
http://arxiv.org/abs/1707.02854
Autor:
Asserda, Said
Publikováno v:
Nonlinear Analysis : Theory, Methods & Applications Volume 75, Issue 8, May 2012, Pages 3480-3492
We study a generalized functional related to the pullback metrics (3). We derive the first variation formula which yield stationary maps. We introduce the stress-energy tensor which is naturally linked to conservation law and yield monotonicity formu
Externí odkaz:
http://arxiv.org/abs/1707.02495
Autor:
Asserda, Saïd, Kassi, M'Hamed
Publikováno v:
Comptes Rendus Mathematique, Volume 351, 627-630 (2013)
If $(N^{m+p},h)$ is a Cartan-Hadamard manifold such that $Ric(h)\geq -G(r_{N}(x))$ where $G(0)\geq 1, G^{'}\geq 0$ and $G^{-1/2}\not\in L^{1}(+\infty)$ then every proper biharmonic isometric immersion $\phi : M^{m}\rightarrow(N^{m+p},h)$ is a harmoni
Externí odkaz:
http://arxiv.org/abs/1707.01925
Autor:
Asserda, Said, Hichame, Amal
Publikováno v:
Comptes Rendus Mathematique, Volume 352, Issue 1, Pages 13-16 (January 2014)
Let $AL^{2}_{\phi}(\mathbb{D})$ denote the closed subspace of $L^{2}(\mathbb{D},e^{-2\phi}d\lambda)$ consisting of holomorphic functions in the unit disc ${\mathbb D}$. For certain class of subharmonic funcions $\phi : {\mathbb D}\rightarrow{\mathbb
Externí odkaz:
http://arxiv.org/abs/1707.01884
Autor:
Asserda, Said
We characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on Bergman spaces of holomorphic hermitian line bundles over K\"ahler Cartan-Hadamard manifold
Externí odkaz:
http://arxiv.org/abs/1707.01722
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2022 506(1)
