A fiber bundle over BMO Teichmüller space

Proceedings of the American Mathematical Society Series B 2026 Open access

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Authors: Katsuhiko Matsuzaki
DOI: 10.1090/bproc/275
Cited by: 1
References: 10

Abstract

We prove that the fiber space consisting of BMOA functions that are the logarithms of derivatives of conformal homeomorphisms of the unit disk onto bounded quasidisks forms a real-analytic disk bundle over the Bers embedding of the BMO Teichmüller space. For the VMO Teichmüller space, we show that the corresponding sub-bundle consisting of VMOA functions is real-analytically trivial.

Fields of Study & Subjects

Analytic and geometric function theory Geometric and Algebraic Topology Geometry and complex manifolds

Publication details

Journal / source
Proceedings of the American Mathematical Society Series B
Publisher
American Mathematical Society (AMS)
Volume
13
Issue
2
Pages
9–19
Publication date
7 January 2026
Language
EN