Higher Bers maps and Weil-Petersson Teichmüller space

Tang, Shuan; Jin, Jianjun

doi:10.2996/kmj/1540951253

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“…It should be pointed out that the case n = 3 is the classical result of Bers [6]. The higher Bers maps on Weil-Petersson and BMO Teichmüller space were also investigated recently by the authors (see [25] [26]). In this paper, we will treat the higher Bers maps on the Dirichlet-Morrey Teichmüller space.…”

Section: Introductionmentioning

confidence: 96%

Higher Schwarzian derivative and Dirichlet Morrey space

Tang

Shi

et al. 2019

Filomat

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Section: Introductionmentioning

confidence: 96%

Higher Schwarzian derivative and Dirichlet Morrey space

Tang

Shi

et al. 2019

Filomat

Self Cite

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A Study of the Higher-Order Schwarzian Derivatives of Hirotaka Tamanoi

Fan

Wang

et al. 2023

Mathematica Slovaca

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In this paper, we study the higher-order Schwarzian derivative Sn (f) proposed by H. Tamanoi [Higher Schwarzian operators and combinatorics of the Schwarzian derivative, Math. Ann. 305 (1996), 127–151]. For the strongly starlike functions of order α and strongly convex functions of order α, the sharp bound of |S 3(f)(0)| is obtained. When n ∈ [2, 7], we prove that the higher Bers maps induced by Sn (f) on Weil-Petersson Teichmüller space and BMO-Teichmüller space are holomorphic.

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Higher Bers maps and Weil-Petersson Teichmüller space

Cited by 2 publications

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Higher Schwarzian derivative and Dirichlet Morrey space

Higher Schwarzian derivative and Dirichlet Morrey space

A Study of the Higher-Order Schwarzian Derivatives of Hirotaka Tamanoi

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