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Divergence Liftings and Regular Factorizations for Metric Cotype
Abstract
The least regular norm of a factorization of antipodal differences through sign differences on (ℤ/mℤ)n is m/2 when 4| m. On these tori, when 2√n≤ m≤4√n, normalized divergence equations admit selections with pointwise norm bound 3/2, while the least linear lifting norm and global Lipschitz selection constant equal √n/2. Higher-moment lifting bounds follow from a quoted sharp L1 inequality.
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BibTeX
@misc{wang2026divergence,
title = {{Divergence Liftings and Regular Factorizations for Metric Cotype}},
author = {Yue Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.32589},
eprint = {2609.32589},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32589},
}
RIS
TY - UNPB
TI - Divergence Liftings and Regular Factorizations for Metric Cotype
AU - Yue Wang
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2609.32589
UR - https://arxiv.org/abs/2609.32589
AB - The least regular norm of a factorization of antipodal differences through sign differences on (ℤ/mℤ)^n is m/2 when 4| m. On these tori, when 2√n≤ m≤4√n, normalized divergence equations admit selections with pointwise norm bound 3/2, while the least linear lifting norm and global Lipschitz selection constant equal √n/2. Higher-moment lifting bounds follow from a quoted sharp L_1 inequality.
ER -