The Universal Teichmüller Space and Function Space. (21st January 2020)

• Record Type: Journal Article
• Authors: Liu, Yutong; Qi, Yi
• Other Names: Curto Raúl E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-01-21
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/8451832
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, a subspace T F 0 2, 1 − s, s of the universal Teichmüller space, which is related to the analytic function space F 0 2, 1 − s, s, is introduced and the holomorphy of the Bers map is shown. It is also proved that the pre-Bers map is holomorphic and the prelogarithmic derivative model T ˜ F 0 2, 1 − s, s of T F 0 2, 1 − s, s is a disconnected subset of the function space F 0 2, 1 − s, s . Moreover, several equivalent descriptions of elements of T F 0 2, 1 − s, s are obtained and the holomorphy of higher Bers maps is proved.