An application of metric cotype to quasisymmetric embeddings
Abstract
We apply the notion of metric cotype to show that $L_p$ admits a quasisymmetric embedding into $L_q$ if and only if $p\le q$ or $q\le p\le 2$.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- July 2006
- DOI:
- 10.48550/arXiv.math/0607644
- arXiv:
- arXiv:math/0607644
- Bibcode:
- 2006math......7644N
- Keywords:
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- Mathematics - Metric Geometry