Quasiconformal extensions and inner radius of univalence by pre-Schwarzian derivatives of analytic and harmonic mappings
DOI10.15407/MAG19.04.781MaRDI QIDQ6493800
Xiao Yuan Wang, JinHua Fan, Zhenyong Hu
Publication date: 29 April 2024
Published in: Journal of Mathematical Physics, Analysis, Geometry (Search for Journal in Brave)
harmonic mappingquasiconformal extensionquasidiskinner radius of univalencestrongly spiral-like function
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)
Cites Work
- Quasiconformal extension of strongly spirallike functions
- Singularities of discrete open mappings with controlled \(p\)-module
- Explicit quasiconformal extensions and Löwner chains
- Injectivity, the BMO norm and the universal Teichmüller space
- Explicit quasiconformal extensions for some classes of univalent functions
- Univalent functions and the Schwarzian derivative
- Inner radius of univalence for a strongly starlike domain
- On the boundary behavior of mappings in the class \(W^{1,1}_{\mathrm{loc}}\) on Riemann surfaces
- On the boundary behavior of open discrete mappings with unbounded characteristic
- Criteria for univalency and quasiconformal extension for harmonic mappings
- John disks and \(K\)-quasiconformal harmonic mappings
- On nonhomeomorphic mappings with the inverse Poletsky inequality
- Pre-schwarzian and Schwarzian derivatives of harmonic mappings
- On the inner radius of univalency by pre-Schwarzian derivative
- Counterexamples concerning quasiconformal extensions of strongly starlike functions
- Quasiconformal reflections
- Stable geometric properties of analytic and harmonic functions
- Quasiconformal extension of harmonic mappings in the plane
- Boundary behavior of ring Q-homeomorphisms in metric spaces
- Injectivity theorems in plane and space
- Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains
- Loewner Theory for Quasiconformal Extensions: Old and New
- Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
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