On a Generalization of Nikolskij's Extension Theorem in the Case of Two Variables |
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Authors: | Alexander Ženíšek |
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Affiliation: | (1) Department of Mathematics, Technical University Brno, Technická 2, 616 69 Brno, Czech Republic |
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Abstract: | A modification of the Nikolskij extension theorem for functions from Sobolev spaces Hk() is presented. This modification requires the boundary to be only Lipschitz continuous for an arbitrary k however, it is restricted to the case of two-dimensional bounded domains. |
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Keywords: | Whitney's extension Calderon's extension Nikolskij's extension |
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