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Extension of functions preserving the modulus of continuity (1997)

Milman, V. A.

Springer

Mathematical notes 61 (1997), S. 193-200

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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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