Abstract
We verify that the $p$-integrable Teichmüller space $T_{p}$ admits the canonical complex Banach manifold structure for any $p \geq 1$. Moreover, we characterize a quasisymmetric homeomorphism corresponding to an element of $T_{p}$ in terms of the $p$-Besov space for any $p>1$.
Citation
Huaying Wei. Katsuhiko Matsuzaki. "The $p$-integrable Teichmüller space for $p \geqslant 1$." Proc. Japan Acad. Ser. A Math. Sci. 99 (6) 37 - 42, June 2023. https://doi.org/10.3792/pjaa.99.008
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