Christine Laurent-Thi'ebaut

activity

20082019

collaborators

8 papers

math.CV2019

Holomorphic Approximation and Mixed Boundary Value Problems for $\partial$

Christine Laurent-Thiébaut, Mei-Chi Shaw

In this paper we study holomorphic approximation using boundary value problems for $\partial ˉ$ on an annulus in the Hilbert space setting. The associated boundary conditions for…

math.CV2019

Holomorphic Approximation via Dolbeault Cohomology

Christine Laurent-Thiébaut, Mei-Chi Shaw

The purpose of this paper is to study holomorphic approximation and approximation of $\partial ˉ$ -closed forms in complex manifolds of complex dimension $n \geq 1$ . We consider ex…

math.CV2016

Solving $\partial$ with prescribed support on Hartogs triangles in $C^{2}$ and $C P^{2}$

Christine Laurent-Thiébaut, Mei-Chi Shaw

In this paper we study the solvability of the Cauchy-Riemann equation with prescibed support in different spaces of forms. The unbounded Hartogs triangle in $C^{2}$ and the H…

math.CV2016

Hearing pseudoconvexity in Lipschitz domains with holes via $\partial$

Siqi Fu, Christine Laurent-Thiébaut, Mei-Chi Shaw

Let $Ω = Ω ∖ D$ where $Ω$ is a bounded domain with connected complement in $C^{n}$ (or more generally in a Stein manifold) and $D$ is rela…

math.CV2016

On the $L^{2}$ -Dolbeault cohomology of annuli

Debraj Chakrabarti, Christine Laurent-Thiébaut, Mei-Chi Shaw

For certain annuli in $C^{n}$ , $n \geq 2$ , with non-smooth holes, we show that the $\partial ˉ$ -operator from $L^{2}$ functions to $L^{2}$ $(0, 1)$ -forms has closed range. The…

math.CV2013

$L^{p}$ -theory for the tangential Cauchy-Riemann equation

Christine Laurent-Thiébaut

We are interested in $L^{p}$ -theory for the tangential Cauchy-Riemann operator in locally embeddable, $s$ -concave, generic CR manifolds. We study the Dolbeault isomorphism and develo…

Holomorphic Approximation and Mixed Boundary Value Problems for ∂

Holomorphic Approximation via Dolbeault Cohomology

Solving ∂ with prescribed support on Hartogs triangles in C2 and CP2

Hearing pseudoconvexity in Lipschitz domains with holes via ∂

On the L2-Dolbeault cohomology of annuli

Lp-theory for the tangential Cauchy-Riemann equation

Holomorphic Approximation and Mixed Boundary Value Problems for $\partial$

Solving $\partial$ with prescribed support on Hartogs triangles in $C^{2}$ and $C P^{2}$

Hearing pseudoconvexity in Lipschitz domains with holes via $\partial$

On the $L^{2}$ -Dolbeault cohomology of annuli

$L^{p}$ -theory for the tangential Cauchy-Riemann equation