We prove that in general it is not possible to extend a Lipschitz multiple valued function without increasing the Lipschitz constant, i.e. we show that there is no analog of Kirszbraun's extension theorem for Almgren's multiple valued functions. © 2014 Springer Basel.
Kirszbraun's extension theorem fails for Almgren's multiple valued functions / Logaritsch, P.; Marchese, A.. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 102:5(2014), pp. 455-458. [10.1007/s00013-014-0642-4]
Kirszbraun's extension theorem fails for Almgren's multiple valued functions
Marchese A.
2014-01-01
Abstract
We prove that in general it is not possible to extend a Lipschitz multiple valued function without increasing the Lipschitz constant, i.e. we show that there is no analog of Kirszbraun's extension theorem for Almgren's multiple valued functions. © 2014 Springer Basel.File in questo prodotto:
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