Sharif University of Technology
Scientia Iranica
1026-3098
15
6
2008
12
01
On the Solvability of @ in a Class of Hypo-Analytic Manifolds
3079
EN
A.R.
Bahraini
Department of Mathematics,Sharif University of Technology
Journal Article
2009
07
25
The solvability of @ operator in a class of hypo-analytic manifolds in complex dimension 2 is
studied. Suitable weighted L2 spaces are introduced for establishing an a priori inequality. The
regularity of the solutions is shown by using a theory of degenerate elliptic operators, developed
by Grusin and Visik. The theorem obtained is a degenerate version for the @ problem in strictly
pseudo-convex domains.
https://scientiairanica.sharif.edu/article_3079_475de2393c357a7f8b1f73e7eeb2512b.pdf