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arXiv · 2510.20101

A fiber bundle over BMO Teichm\"uller space

Katsuhiko Matsuzaki
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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.

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Katsuhiko Matsuzaki. 2025-10-23. A fiber bundle over BMO Teichm\"uller space. https://arxiv.org/abs/2510.20101

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