Extension of functions preserving the modulus of continuity |
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Authors: | V A Milman |
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Institution: | (1) Institute of Engineering Cybernetics, Academy of Sciences of Belarus, Belarus |
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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.
Translated fromMatematicheskie Zametki, Vol. 61, No. 2, pp. 236–245, February, 1997.
Translated by N. K. Kulman |
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Keywords: | extension of a function modulus of continuity trace of a locally Lipschitz function |
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