An application of metric cotype to quasisymmetric embeddings

Details An application of metric cotype to quasisymmetric embeddings An application of metric cotype to quasisymmetric embeddings

2006-07-25

arxiv.org/abs/math/0607644v1

Mathematics

Metric Geometry

Scientific paper

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 $q\le p\le 2$.

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