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Sharp norm estimate of Schwarzian derivative for a class of convex functions

Stanisława Kanas, Toshiyuki Sugawa (2011)

Annales Polonici Mathematici

We establish a sharp norm estimate of the Schwarzian derivative for a function in the classes of convex functions introduced by Ma and Minda [Proceedings of the Conference on Complex Analysis, Int. Press, 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order α, 0 < α < 1, and for uniformly convex functions.

Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form

Francis Bonahon (1996)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Stability of the homology of the moduli spaces of Riemann surfaces with spin structure.

John L. Harer (1990)

Mathematische Annalen

Strengthened Moser’s conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues

Samuel Krushkal (2007)

Open Mathematics

The Grunsky and Teichmüller norms ϰ(f) and k(f) of a holomorphic univalent function f in a finitely connected domain D ∋ ∞ with quasiconformal extension to $\hat{ℂ}$ are related by ϰ(f) ≤ k(f). In 1985, Jürgen Moser conjectured that any univalent function in the disk Δ* = z: |z| > 1 can be approximated locally uniformly by functions with ϰ(f) < k(f). This conjecture has been recently proved by R. Kühnau and the author. In this paper, we prove that approximation is possible in a stronger sense, namely,...

Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces.

S.L. Krushkal (1991)

Mathematische Annalen

Substantial boundary points for plane domains and Gardiner's conjecture.

Lakić, Nikola (2000)

Annales Academiae Scientiarum Fennicae. Mathematica