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On a generalization of Nikolskij's extension theorem in the case of two variables

Alexander Ženíšek (2003)

Applications of Mathematics

A modification of the Nikolskij extension theorem for functions from Sobolev spaces H k ( Ω ) is presented. This modification requires the boundary Ω 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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