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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| Institution: | (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 H
k( ) 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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