S. Asserda

collaborators

5 papers

math.DG2017

A note on Bernstein property of a fourth order complex partial differential equations

Said Asserda

For a smooth strictly plurisubharmonic function $u$ on a open set $Ω \subset C^{n}$ and $F$ a $C^{1}$ nondecreasing function on $R_{+}^{*}$ , we investigate the comp…

math.DG2017

Liouville-type results for stationary maps of a class of functional related to pullback metrics

Said Asserda

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 whic…

math.DG2017

Biharmonic Immersion in Cartan Hadamard manifold

Saïd Asserda, M'Hamed Kassi

If $(N^{m + p}, h)$ is a Cartan-Hadamard manifold such that $R i c (h) \geq - G (r_{N} (x))$ where $G (0) \geq 1, G^{^{'}} \geq 0$ and $G^{- 1/2} \neq \in L^{1} (+ \infty)$ then every proper biharmonic…

math.CV2017

Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights

Said Asserda, Amal Hichame

Let $A L_{ϕ}^{2} (D)$ denote the closed subspace of $L^{2} (D, e^{- 2 ϕ} d λ)$ consisting of holomorphic functions in the unit disc $D$ . For certain class of subh…

math.CV2017

Bergman kernel estimates and Toeplitz operators on holomorphic line bundles

Said Asserda

We characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on Bergman spaces of hol…