Work

Proper holomorphic embeddings into strictly convex domains

Year: 2025

Type: article

Abstract: Assume that is a $$\varOmega $$ bounded, strictly pseudoconvexed domain with $$C^{2}$$ boundary. Let $$D\subset \mathbb {C}^{n}$$ be a bounded strictly convex domain in a geometric sense, i.e. D is bounded and convex without any line segment in the boundary. If n is large enough, then there exists a proper holomorphic embedding $$f:\varOmega \rightarrow D$$ , which extends continuously through $$\overline{\varOmega }$$ .

Source: Complex Analysis and its Synergies

DOI: 10.1007/s40627-025-00164-2

Author: Piotr Kot

Institution: AGH University of Krakow

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

OpenAlex ID: W4414138485