Extension of functions preserving the modulus of continuity

被引：0
|
作者：
V. A. Milman
机构：
[1] Academy of Sciences of Belarus,Institute of Engineering Cybernetics
来源：
Mathematical Notes | 1997年 / 61卷
关键词：
extension of a function; modulus of continuity; trace of a locally Lipschitz function;
D O I：
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学科分类号：
摘要：
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.
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页码：193 / 200
页数：7
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