Geometric estimates for the Schwarzian derivative

DOI10.1070/RM9771zbMath1385.30014OpenAlexW2615041503MaRDI QIDQ4596558

V. N. Dubinin

Publication date: 1 December 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9771

zbMATH Keywords

Schwarzian derivativesymmetrizationholomorphic functioncondenser capacityboundary distortion

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Capacity and harmonic measure in the complex plane (30C85) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (5)

Two-point distortion theorems and the Schwarzian derivatives of meromorphic functions ⋮ The Schwarzian derivative of a \(p\)-valent function ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ The Kraus inequality for multivalent functions ⋮ Several inequalities for the Schwarzian derivative of a bounded analytic function

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