Kirszbraun theorem
|
|
In mathematics, the Kirszbraun theorem in mathematical analysis states that if U is a subset of Euclidean space En and
- f : U → Em
is a Lipschitz-continuous map, then there is a Lipschitz-continuous map
- F: En → Em
that extends f, and has the same Lipschitz constant as f.
Reference
M. D. Kirszbraun. Uber die zusammenziehenden und Lipschitzchen Transformationen. Fund. Math., (22):77–108, 1934.