Year: 2025
Type: article
Abstract: We show how to construct a class of smooth bounded pseudoconvex domains whose boundary contains a given Stein manifold with strongly pseudoconvex boundary, having a prescribed codimension and D'Angelo class (a cohomological invariant measuring the “winding” of the boundary of the domain around the submanifold). Some open questions in the regularity theory of the ‐Neumann problem are discussed in the setting of these domains.
DOI: 10.1112/blms.70057
Authors: Simone Calamai, Gian Maria Dall'Ara
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408858915