Teichmüller spaces and coefficient problems for univalent holomorphic functions

DOI10.1007/978-3-031-25424-6_7MaRDI QIDQ6090747

Samuel L. Krushkal

Publication date: 17 November 2023

Published in: Harmonic Analysis and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Teichmüller spacesunivalent functionssubharmonic functionholomorphic functionalsBers isomorphism theoremquasiconformal extentioncoeffficient estimates

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• A proof of the Bieberbach conjecture
• Coefficient estimates for negative powers of the derivative of univalent functions
• Higher Schwarzian operators and combinatorics of the Schwarzian derivative
• A necessary and sufficient condition for univalence of a meromorphic function
• Fiber spaces over Teichmüller spaces
• Holomorphic Motions and Teichmuller Spaces
• Distortion theorems for higher order Schwarzian derivatives of univalent functions
• On the Derivatives of the Schwarzian Derivative of a Univalent Function and their Symmetric Generating Function
• Plurisubharmonic features of the Teichmuller metric

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