Work

Holomorphic Retracts in the Lie Ball and the Tetrablock

Year: 2025

Type: article

Abstract: In this article, we study various properties of holomorphic retracts in Lempert domains. We associate the existence and the form of holomorphic retracts with the linear ones, provide non-trivial examples and discuss their properties in a quite general setting. Later we specialize to two Lempert domains which are the Lie ball of dimension three and its 2-proper holomorphic image, that is, the tetrablock and give a complete description of holomorphic retracts in these domains.

Source: Journal of Geometric Analysis

DOI: 10.1007/s12220-025-01938-0

Authors: Gargi Ghosh, Włodzimierz Zwonek

Institution: Jagiellonian University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Narodowe Centrum Nauki