Isometric approximation in bounded sets and its applications

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Abstract

We give a review of results related to the isometric approximation problem in bounded sets, and their application in the extension problems for bilipschitz and quasisymmetric maps. We also list several recent articles dealing with the approximation problem for mappings defined in the whole space.
Original languageEnglish
Title of host publicationDevelopments in Functional Equations and Related Topics
EditorsJanusz Brzdek, Krzysztof Cieplinski, Themistokles M. Rassias
Pages17-24
Number of pages8
ISBN (Electronic)978-3-319-61732-9
DOIs
Publication statusPublished - 2017
MoE publication typeA3 Part of a book or another research book

Publication series

NameSpringer Optimization and Its Applications
PublisherSpringer
Volume124
ISSN (Print)1931-6828
ISSN (Electronic)1931-6836

Keywords

  • Nearisometry
  • Quasisymmetric
  • Bilipschitz
  • Extension

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  • Cite this

    Alestalo, P. (2017). Isometric approximation in bounded sets and its applications. In J. Brzdek, K. Cieplinski, & T. M. Rassias (Eds.), Developments in Functional Equations and Related Topics (pp. 17-24). (Springer Optimization and Its Applications; Vol. 124). https://doi.org/10.1007/978-3-319-61732-9_2