Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings

DOI10.2298/AADM200104001MzbMath1474.30178arXiv1808.06647OpenAlexW3019958513WikidataQ125024336 ScholiaQ125024336MaRDI QIDQ4988987

Marek Svetlik, Miodrag S. Mateljević

Publication date: 20 May 2021

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06647

zbMATH Keywords

harmonic functionsthe Schwarz lemmaholomorphic and quasiregular mapshyperbolic metric on the stripthe Schwarz-Pick lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (16)

A note on the Schwarz lemma for harmonic functions ⋮ Bound estimates for the derivative of driving point impedance functions ⋮ On holomorphic functions on negatively curved manifolds ⋮ Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ A note on pluriharmonic functions in the unit polydisc in \(\mathbb{C}^n\) ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ Some Results Concerned with Hankel Determinant ⋮ Schwarz type lemmas for generalized harmonic functions ⋮ A generalized Schwarz-Pick inequality for quasiconformal mappings satisfying Poisson's equation ⋮ Some properties of mappings admitting general Poisson representations ⋮ On some Schwarz type inequalities ⋮ The boundary Schwarz lemma for harmonic and pluriharmonic mappings and some generalizations ⋮ Unnamed Item ⋮ New estimates for meromorphic functions ⋮ Uniqueness part of Schwarz lemma for driving point impedance functions ⋮ Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma

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