14 citations · 51 across the 26 of their papers we have counts for
26 papers
Extension of L^2, di-bar-closed, forms
Luca Baracco, Stefano Pinton, Giuseppe Zampieri
We prove extension of a di-bar-closed, smooth, form from the intersection of a pseudoconvex domain with a complex hyperplane to the whole domain. The extension form is di-bar-close…
Hölder regularity of the solution to the complex Monge-Ampère equation with density
Luca Baracco, Tran Vu Khanh, Stefano Pinton +1
On a smooth domain , we consider the Dirichlet problem for the complex Monge-Ampère equation . We state the Hölder reg…
Local regularity of the Green operator in a CR manifold of general "type"
Luca Baracco, Tran Vu Khanh, Stefano Pinton +1
It is here proved that if a pseudoconvex CR manifold of hypersurface type has a certain "type", that we quantify by a vanishing rate at a submanifold of CR dimension , t…
Hypoellipticity of the -Neumann problem by means of subelliptic multipliers
Luca Baracco, Stefano Pinton, Giuseppe Zampieri
We prove local hypoellipticity of the complex Laplacian and of the Kohn Laplacian in a pseudoconvex boundary when, for a system of cut-off , the gradient $\parti…
Hypoellipticity of the di-bar-Neumann problem at a set of infinite type with positive CR dimension
Luca Baracco, Stefano Pinton, Giuseppe Zampieri
This paper presents a class of domains on which the Kohn Laplacian and the dib-bar-Neumann problem are hypoelliptic but not superlogarithmic and which, moreover, have a set of poin…
Complex Manifolds In -Convex Boundaries
Stefano Pinton, Giuseppe Zampieri
We consider a smooth boundary bΩwhich is q-convex in the sense that its Levi-form has positive trace on every complex q-plane. We prove that bΩis tangent of infinite order to the c…