We study the Kohn Laplacian □b(q) acting on (0, q)-forms on quadratic CR manifolds. We characterize the operators □b(q) that are locally solvable and hypoelliptic, respectively, in terms of the signatures of the scalar components of the Levi form.
Analysis of the Kohn Laplacian on quadratic CR manifolds / M. M. Peloso, F. Ricci. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 203:2(2003 Oct), pp. 321-355.
Analysis of the Kohn Laplacian on quadratic CR manifolds
M. M. PelosoPrimo
;
2003
Abstract
We study the Kohn Laplacian □b(q) acting on (0, q)-forms on quadratic CR manifolds. We characterize the operators □b(q) that are locally solvable and hypoelliptic, respectively, in terms of the signatures of the scalar components of the Levi form.
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