4 papers · 1 filter
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…
The Hardy-Littlewood Lemma and the estimate of the $\dib$-Neumann problem in a general norm
Stefano Pinton
We prove a generalized Hardy-Littlewood lemma on a non-smooth domain in "-norm" and give an application to a corresponding estimate for the $\dib$-Neumann problem by means of su…
Loss of derivatives in the infinite type
T. V. Khanh, S. Pinton, G. Zampieri
We discuss loss of derivatives for degenerate vector fields obtained from infinite type exponentially non-degenerate hypersurfaces of $\C^2$.
Loss of derivatives for systems of complex vector fields and sums of squares
Tran Vu Khanh, Stefano Pinton, Giuseppe Zampieri
We discuss, both for systems of complex vector fields and for sums of squares, the phenomenon discovered by Kohn of hypoellipticity with loss of derivatives.