BMO preservation and quasiconformality

In dimension $n\ge2$, a homeomorphism of $R^n$ preserving BMO space therein was proved to be quasiconformal, up to an orientation reversing reflection.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-03
DOI
https://doi.org/10.48550/arxiv.2611.04451
Primary Topic
Analytic and geometric function theory
Type
preprint
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preprint

BMO preservation and quasiconformality

Yuan Zhou, Yepei Wen
arXiv (Cornell University)
Analytic and geometric function theory
preprint

BMO preservation and quasiconformality

Yuan Zhou, Yepei Wen
preprint en

Abstract

In dimension $n\ge2$, a homeomorphism of $R^n$ preserving BMO space therein was proved to be quasiconformal, up to an orientation reversing reflection.

arXiv (Cornell University)
Analytic and geometric function theory
DOIOpen Access PDFOpenAlex
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BMO preservation and quasiconformality — Yuan Zhou, Yepei Wen · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS