Local analytic hypoellipticity for □ b on nondegenerate Cauchy—Riemann manifolds
- 1 July 1978
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 75 (7) , 3027-3028
- https://doi.org/10.1073/pnas.75.7.3027
Abstract
The local real analytic regularity of solutions to square(b), the complex boundary Laplacian, and related operators is proved for (p,q) forms on a nondegenerate, abstract, real analytic Cauchy-Riemann (C-R) manifold of dimension 2n - 1 satisfying J. J. Kohn's condition Y(q). The problem is reduced to the study of general, "variable coefficient" operators, satisfying the same a priori estimates, on the Heisenberg group. L(2) methods only are used.Keywords
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