Complex geodesics in tube domains and their role in the study of harmonic mappings in the disc
From MaRDI portal
Publication:6377981
DOI10.1007/S10476-022-0151-9arXiv2109.09019MaRDI QIDQ6377981
Publication date: 18 September 2021
Abstract: We continue the research on the structure of complex geodesics in tube domains over (bounded) convex bases. In some special cases a more explicit form of the geodesics than the existing ones are provided. As one of the consequences of our study an effective formula for the Kobayashi-Royden metric in the tube domain at the origin is given. The results on the Kobayashi-Royden metric in a natural way provide versions of the Schwarz Lemma for harmonic mappings. We also present a result on harmonic mappings defined on the disc that may be seen as a generalisation of the Rad'o-Kneser-Choquet Theorem for a class of harmonic bivalent mappings that lets understand better the geometry of complex geodesics in tube domains.
Invariant metrics and pseudodistances in several complex variables (32F45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)
This page was built for publication: Complex geodesics in tube domains and their role in the study of harmonic mappings in the disc
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6377981)
