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Matematicheskie Zametki, 1997, Volume 61, Issue 2, Pages 236–245
DOI: https://doi.org/10.4213/mzm1496 (Mi mzm1496) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Extension of functions preserving the modulus of continuity

V. A. Milman

Institute of Technical Cybernetics, National Academy of Sciences of Belarus
Full-text PDF (196 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm1496
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.
Received: 20.10.1994
English version:
Mathematical Notes, 1997, Volume 61, Issue 2, Pages 193–200
DOI: https://doi.org/10.1007/BF02355728
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Milman, “Extension of functions preserving the modulus of continuity”, Mat. Zametki, 61:2 (1997), 236–245; Math. Notes, 61:2 (1997), 193–200
Citation in format AMSBIB
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\jour Math. Notes
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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