A fiber bundle over BMO Teichmüller space
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.
Authors
- Katsuhiko Matsuzaki (ORCID: https://orcid.org/0000-0003-0025-5372)
Institutions
- Waseda University (JP)
Publication Details
- Journal
- Proceedings of the American Mathematical Society Series B
- Published
- 2026-01-07
- DOI
- https://doi.org/10.1090/bproc/275
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00