English

An application of metric cotype to quasisymmetric embeddings

Metric Geometry 2007-05-23 v1

Abstract

We apply the notion of metric cotype to show that LpL_p admits a quasisymmetric embedding into LqL_q if and only if pqp\le q or qp2q\le p\le 2.

Keywords

Cite

@article{arxiv.math/0607644,
  title  = {An application of metric cotype to quasisymmetric embeddings},
  author = {Assaf Naor},
  journal= {arXiv preprint arXiv:math/0607644},
  year   = {2007}
}