Singularity and regularity -- local and global (Q1126742)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Singularity and regularity -- local and global |
scientific article; zbMATH DE number 1184297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singularity and regularity -- local and global |
scientific article; zbMATH DE number 1184297 |
Statements
Singularity and regularity -- local and global (English)
0 references
6 August 1998
0 references
We quote the author's abstract: ``There exists a smoothly bounded, pseudo-convex domain in \(\mathbb{C}^2\) for which the Bergman projection fails to preserve the class of functions which are globally smooth up to the boundary. The counterexample is explained and placed in a wider context through a broader discussion of the local and global regularity of solutions to subelliptic and more degenerate partial differential equations in various function spaces''.
0 references
hypoellipticity
0 references
\(\overline\partial\)-Neumann problem
0 references
Bergman projection
0 references
global regularity
0 references
