On left inverses in the Lempert theorem
Complex Variables
2025-12-01 v1
Abstract
In the paper we discuss the problem of existence, uniqueness and extension through the boundary of left inverses to complex geodesics in Lempert domains. We concentrate on special left inverses (so called Lempert left inverses) characterized by the fact that their fibers are intersections of affine hyperplanes with the domain.
Keywords
Cite
@article{arxiv.2511.22301,
title = {On left inverses in the Lempert theorem},
author = {Włodzimierz Zwonek},
journal= {arXiv preprint arXiv:2511.22301},
year = {2025}
}
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11 pages