Electronic Resource
Springer
Mathematical notes
61 (1997), S. 193-200
ISSN:
1573-8876
Keywords:
extension of a function
;
modulus of continuity
;
trace of a locally Lipschitz function
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The problem of the extension of a real-valued function from a subset of a metric space to the entire space is treated. An extension operator preserving the modulus of continuity of a function is proposed and its properties are studied. An application to the problem of the trace of a locally Lipschitz function on a compact subset of a metric space is given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02355728
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