Beschreibung:
<jats:p>
The local real analytic regularity of solutions to □
<jats:sub>
<jats:italic>b</jats:italic>
</jats:sub>
, the complex boundary Laplacian, and related operators is proved for (
<jats:italic>p,q</jats:italic>
) forms on a nondegenerate, abstract, real analytic Cauchy-Riemann (C-R) manifold of dimension 2
<jats:italic>n</jats:italic>
- 1 satisfying J. J. Kohn's condition
<jats:italic>Y</jats:italic>
(
<jats:italic>q</jats:italic>
). The problem is reduced to the study of general, “variable coefficient” operators, satisfying the same
<jats:italic>a priori</jats:italic>
estimates, on the Heisenberg group.
<jats:italic>L</jats:italic>
<jats:sup>2</jats:sup>
methods only are used.
</jats:p>