Absolutely minimizing Lipschitz extensions on a metric space
Abstract
In this note, we consider the problem of finding an absolutely minimizing Lipschitz extension of a given function defined in a subset of an arbitrary metric space. Using a version of Perron’s method due to Aronsson, we prove the existence under the assumption that the space is a separable length space.
Main Author
Format
Articles
Research article
Published
2002
Series
Subjects
Publication in research information system
Publisher
Suomalainen tiedeakatemia
Original source
https://www.acadsci.fi/mathematica/Vol27/juutinen.html
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202403212554Use this for linking
Review status
Peer reviewed
ISSN
1239-629X
Language
English
Published in
Annales Academiae Scientiarum Fennicae. Mathematica
Citation
- Juutinen, P. (2002). Absolutely minimizing Lipschitz extensions on a metric space. Annales Academiae Scientiarum Fennicae. Mathematica, 27, 57-67. https://www.acadsci.fi/mathematica/Vol27/juutinen.html
License
Copyright© 2002 Suomalainen tiedeakatemia