Christine Laurent-Thi'ebaut

activity

20082019

collaborators

Showing 2016Show all

3 papers · 1 filter

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…

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

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