A fiber bundle over BMO Teichm\"uller space
Complex Variables
2025-10-24 v1
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 Teichm\"uller space. For the VMO Teichm\"uller space, we show that the corresponding sub-bundle consisting of VMOA functions is real-analytically trivial.
Cite
@article{arxiv.2510.20101,
title = {A fiber bundle over BMO Teichm\"uller space},
author = {Katsuhiko Matsuzaki},
journal= {arXiv preprint arXiv:2510.20101},
year = {2025}
}