Ellipsoids in pseudoconvex domains

arXiv (Cornell University) 2026 Preprint Open access

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Authors: László Lempert
DOI: 10.48550/arxiv.2602.15240
Cited by: 0

Abstract

We consider the problem of maximizing the volume of hermitian ellipsoids inscribed in a given pseudoconvex domain in complex Euclidean space. We prove existence and uniqueness, and give a characterization of the maximizer.

Fields of Study & Subjects

Holomorphic and Operator Theory Analytic and geometric function theory Geometry and complex manifolds

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint