A new method to introduce a priori estimates for the \(\overline{\partial}\) Neumann problem. (English) Zbl 0731.32007
Complex analysis, Proc. Int. Workshop Ded. H. Grauert, Aspects Math. E 17, 310-314 (1991).
[For the entire collection see Zbl 0722.00013.]
The author displays an alternative (to the known) way of obtaining a priori estimates for the \({\bar \partial}\) Neumann problem. Some of the formulae appearing on this way are then applied to obtain a theorem giving sufficient conditions for global regularity of the Neumann operator in a pseudoconvex domain.
The author displays an alternative (to the known) way of obtaining a priori estimates for the \({\bar \partial}\) Neumann problem. Some of the formulae appearing on this way are then applied to obtain a theorem giving sufficient conditions for global regularity of the Neumann operator in a pseudoconvex domain.
Reviewer: A.Russakovskii (Düsseldorf)
MSC:
| 32W05 | \(\overline\partial\) and \(\overline\partial\)-Neumann operators |
