Bergman kernel function and univalence criteria
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Publication:1050486
DOI10.1007/BF02803404zbMath0513.30006OpenAlexW1995053228MaRDI QIDQ1050486
Publication date: 1982
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02803404
General theory of conformal mappings (30C35) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55) Kernel functions in one complex variable and applications (30C40)
Related Items (10)
Grunsky inequalities and Fredholm spectrum in general domains ⋮ Generalized Grunsky coefficients and inequalities ⋮ On symmetric homeomorphisms on the real line ⋮ Universal Teichmüller space and BMO ⋮ Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains ⋮ Sufficient conditions for the finite-valence of analytic functions and their applications ⋮ Counterexamples concerning quasiconformal extensions of strongly starlike functions ⋮ Notes on univalent functions with quasiconformal extensions ⋮ Integrable Teichmüller space ⋮ Faber polynomials with applications to univalent functions with quasiconformal extensions
Cites Work
- Schwarzian derivatives, the Poincaré metric and the kernel function
- The Schwarzian derivative and the Poincaré metric
- Aharonov invariants and univalent functions
- Fredholm eigenvalues and quasiconformal mapping
- A necessary and sufficient condition for univalence of a meromorphic function
- A Uniqueness Theorem for Beltrami Equations
- Univalence Criteria in Multiply-Connected Domains
- Univalent Functions and Domains Bounded by Quasicircles
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