Singularity and regularity -- local and global
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''.
scientific article; zbMATH DE number 1184297