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math.CV2010
Compactness of in a CR manifold
Tran Vu Khanh, Stefano Pinton, Giuseppe Zampieri
This note is aimed at simplifying current literature about compactness estimates for the Kohn-Laplacian on CR manifolds. The approach consists in a tangential basic estimate in the…
math.CV2010
Propagation of CR extendibility at the vertex of a complex sector
Luca Baracco, Stefano Pinton
We study propagation of CR extendibility at the vertex of an analytic sector contained in a CR manifold . Let be the weighted vanishing order of and the comp…
math.CV2010
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.