Local analytic hypoellipticity for □ <sub> <i>b</i> </sub> on nondegenerate Cauchy—Riemann manifolds
Local analytic hypoellipticity for □ <sub> <i>b</i> </sub> on nondegenerate Cauchy—Riemann manifolds
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, …