The extension of functions of Sobolev classes beyond the boundary of the domain on Carnot groups |
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Authors: | I M Pupyshev |
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Institution: | (1) Novosibirsk State Technical University, Novosibirsk, 630092, Russia |
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Abstract: | We prove the theorem on extension of the functions of the Sobolev space W p l (Ω) which are defined on a bounded (ε, δ)-domain Ω in a two-step Carnot group beyond the boundary of the domain of definition. This theorem generalizes the well-known extension theorem by P. Jones for domains of the Euclidean space. |
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Keywords: | Sobolev space Carnot group extension of functions beyond the boundary of the domain of definition |
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