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.
|Title of host publication||Developments in Functional Equations and Related Topics|
|Editors||Janusz Brzdek, Krzysztof Cieplinski, Themistokles M. Rassias|
|Number of pages||8|
|Publication status||Published - 2017|
|MoE publication type||A3 Part of a book or another research book|
|Name||Springer Optimization and Its Applications|
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