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https://research.matf.bg.ac.rs/handle/123456789/2947| Title: | Some Estimates for Hyperbolic Derivative for HQC Mappings and Applications | Authors: | Knežević, Miljan Mateljević, Miodrag Svetlik, Marek |
Affiliations: | Real and Complex Analysis | Keywords: | conformal metrics;HQC mappings;hyperbolic derivative;The gaussian curvature;the Riemann surfaces;the Schwarz-Pick lemma | Issue Date: | 1-Dec-2025 | Rank: | M21 | Publisher: | Springer | Journal: | Results in Mathematics | Abstract: | In this paper, we investigate the properties of hyperbolic metrics on various domains to derive the Schwarz-Pick type inequalities for harmonic quasiconformal mappings (shortly HQC mappings). As applications, we establish versions of the Koebe theorem and hyperbolic distortion results for same class of real and complex harmonic functions defined on the unit disk D and harmonic mappings u:R→(-1,1), where R is a Riemann surface with a complete conformal metric of Gaussian curvature bounded below by a negative constant. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/2947 | ISSN: | 14226383 | DOI: | 10.1007/s00025-025-02546-8 |
| Appears in Collections: | Research outputs |
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