Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces

2024/06/20 by Matsuzaki, Katsuhiko, Wei, Huaying · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.13917

Abstract

We consider the embedding of integrable Teichmüller spaces T_p into analytic Besov spaces by using pre-Schwarzian derivatives. Unlike the case of the Bers embedding by Schwarzian derivatives, there is a big difference between the cases p>1 and p=1. In this paper, we focus on the case p=1 and generalize the previous results obtained for p>1. This gives a unified approach to the complex analytic theory of integrable Teichmüller spaces T_p for all p ≥ 1.

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