An application of metric cotype to quasisymmetric embeddings

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations

Abstract

We apply the notion of metric cotype to show that Lp admits a quasisymmetric embedding into Lq if and only if p≤q or q≤p≤2.

Original languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages175-178
Number of pages4
DOIs
StatePublished - 2012
Externally publishedYes

Publication series

NameProgress in Mathematics
Volume297
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Keywords

  • Metric cotype
  • Quasisymmetric embeddings

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