Singularity and regularity -- local and global
type: Item
instance of: scholarly article
title: Singularity and regularity -- local and global
zbMATH Open document ID: 0913.32003
author: Michael Christ
published in: Documenta Mathematica
publication date: 1998-08-06T00:00:00Z
full work available at URL: https://eudml.org/doc/223704
full work available at URL: Christ.MAN.html
review text: 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''.
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 42B99
zbMATH DE Number: 1184297
zbMATH Keywords: hypoellipticity
zbMATH Keywords: \(\overline\partial\)-Neumann problem
zbMATH Keywords: Bergman projection
zbMATH Keywords: global regularity
reviewed by: Emil J. Straube
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184297