The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings

DOI10.2298/FIL1502221MzbMath1474.30155arXiv1501.03197OpenAlexW4240185067WikidataQ114043040 ScholiaQ114043040MaRDI QIDQ5278548

Miodrag S. Mateljević

Publication date: 19 July 2017

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03197

zbMATH Keywords

quasiconformal mappingsharmonic mappings

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Quasiconformal mappings in the complex plane (30C62)

Related Items (18)

Estimates for holomorphic functions concerned with Jack’s lemma ⋮ Some Estimates for Holomorphic Functions at the Boundary of the Unit Disc ⋮ A note on the Schwarz lemma for harmonic functions ⋮ Bound estimates for the derivative of driving point impedance functions ⋮ Unnamed Item ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ The growth of gradients of solutions of some elliptic equations and Bi-Lipschicity of QCH ⋮ Uniqueness part of the Schwarz lemma at the boundary ⋮ Unnamed Item ⋮ Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings ⋮ Estimates for \(\lambda \)-spirallike functions of complex order on the boundary ⋮ Quasiconformal and HQC mappings between Lyapunov Jordan domains ⋮ Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma ⋮ Boundary Schwarz lemma for holomorphic functions ⋮ Behavior of meromorphic functions at the boundary of the unit disc ⋮ Some remarks on Schwarz lemma at the boundary ⋮ Note on the uniqueness holomorphic function on the unit disk ⋮ Representation with majorant of the Schwarz lemma at the boundary

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