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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 839–843
DOI: https://doi.org/10.17377/semi.2018.15.071 (Mi semr958) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

Radial extensions of bilipschitz maps between unit spheres

P. Alestaloa, D. A. Trotsenkob

a Department of Mathematics and Systems Analysis, Aalto University, PL 11100 Aalto, Helsinki, Finland
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.071
Abstract: Let $E_1$ and $E_2$ be real inner product spaces, and let $S_1$ and $S_2$ be the corresponding unit spheres. We consider different proofs showing that the radial extension of an $L$-bilipschitz map $f\colon S_1\to S_2$ is $L$-bilipschitz with the same constant $L$. We also consider certain other sets having this kind of an extension property.
Keywords: bilipschitz map, unit sphere.
Funding agency Grant number
Academy of Finland
The work was supported by the Academy of Finland and the Sobolev Institute of Mathematics.
Received December 18, 2017, published August 6, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.548
MSC: 30C65
Language: English
Citation: P. Alestalo, D. A. Trotsenko, “Radial extensions of bilipschitz maps between unit spheres”, Sib. Èlektron. Mat. Izv., 15 (2018), 839–843
Citation in format AMSBIB
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\by P.~Alestalo, D.~A.~Trotsenko
\paper Radial extensions of bilipschitz maps between unit spheres
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 839--843
\mathnet{http://mi.mathnet.ru/semr958}
\crossref{https://doi.org/10.17377/semi.2018.15.071}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454860200012}
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