- Journal Article
We consider Lipschitz maps with values in quasi-metric spaces and extend such maps to finitely many points. We prove that in this context every 1-Lipschitz map admits an extension such that its Lipschitz constant is bounded from above by the number of added points plus one. Moreover, we prove that if the source space is a Hilbert space and the target space is a Banach space, then there exists an extension such that its Lipschitz constant is bounded from above by the square root of the total of added points plus one. We discuss applications to metric transforms. Show more
Journal / seriesAnalysis and Geometry in Metric Spaces
Pages / Article No.
SubjectM-matrix; Metric transforms; Lipschitz extension
Organisational unit03500 - Lang, Urs / Lang, Urs
MoreShow all metadata