PreprintarXiv licencearXiv
Three BMO-type Spaces Characterizing Chord--Arc Curves
Abstract
In this note, we introduce three BMO-type spaces on a locally rectifiable Jordan curve and prove that it is a chord-arc curve if and only if these spaces coincide with equivalent norms.
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BibTeX
@misc{tailiang2026three,
title = {{Three BMO-type Spaces Characterizing Chord--Arc Curves}},
author = {Liu Tailiang and Shen Yuliang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33067},
eprint = {2610.33067},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33067},
}
RIS
TY - UNPB
TI - Three BMO-type Spaces Characterizing Chord--Arc Curves
AU - Liu Tailiang
AU - Shen Yuliang
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.33067
UR - https://arxiv.org/abs/2610.33067
AB - In this note, we introduce three BMO-type spaces on a locally rectifiable Jordan curve and prove that it is a chord-arc curve if and only if these spaces coincide with equivalent norms.
ER -