E. Amar

activity

19972020

most citedOn

L^{r}

hypoellipticity of solutions with compact support of the Cauchy-Riemann equation

5 citations · 20 across the 26 of their papers we have counts for

collaborators

29 papers

math.AP2020

Gradient estimates for the heat semigroup on forms in a complete Riemannian manifold

Eric Amar

We study the heat equation $\frac{\partial u}{\partial t} - Δ u = 0, u (x, 0) = ω (x),$ where $Δ := d d^{*} + d^{*} d$ is the Hodge laplacian and $u (\cdot, t)$ and $ω$ are $p$ -differential forms…

math.FA2019

On the linear extension property for interpolating sequences

Eric Amar

Let $S$ be a sequence of points in $Ω,$ where $Ω$ is the unit ball or the unit polydisc in $C^{n} .$ Denote $H^{p}$ ( $Ω$ ) the Hardy space of $Ω.$ Suppose that $S$ is $H^{p…

math.FA2019★ 1 cited

Carleson measures and $H^{p}$ interpolating sequences in the polydisc

Eric Amar

Let $S$ be a sequence of points in $D^{n} .$ Suppose that $S$ is $H^{p}$ interpolating. Then we prove that the sequence $S$ is Carleson, provided that $p > 2.$ We also give…

math.AP2019

Sobolev embeddings with weights in complete riemannian manifolds

Eric Amar

We prove Sobolev embedding Theorems with weights for vector bundles in a complete riemannian manifold. We also get general Gaffney's inequality with weights. As a consequence, unde…

math.CV2019

Solutions of the $\partial ˉ$ -equation on Stein and on Kähler manifold with compact support

Eric Amar

We study the $\partial ˉ$ -equation first in Stein manifold then in complete Kähler manifolds. The aim is to get $L^{r}$ and Sobolev estimates on solutions with compact support.…

math.AP2018★ 1 cited

Sobolev solutions of parabolic equation in a complete riemannian manifold

Eric Amar

We study Sobolev estimates for the solutions of parabolic equations acting on a vector bundle, in a complete, compact or non compact, riemannian manifold $M .$ The idea is to introd…

Gradient estimates for the heat semigroup on forms in a complete Riemannian manifold

On the linear extension property for interpolating sequences

Carleson measures and Hp interpolating sequences in the polydisc

Sobolev embeddings with weights in complete riemannian manifolds

Solutions of the ∂ˉ-equation on Stein and on Kähler manifold with compact support

Sobolev solutions of parabolic equation in a complete riemannian manifold

Carleson measures and $H^{p}$ interpolating sequences in the polydisc

Solutions of the $\partial ˉ$ -equation on Stein and on Kähler manifold with compact support