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Sobolev-Type Classes of Functions with Values in a Metric Space. II |
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| Authors: | Reshetnyak Yu G |
| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk |
| Abstract: | We prove equivalence of the definitions by the author and by Korevaar and Schoen of the Sobolev classes of mappings of a domain of an arithmetic n-dimensional space to a metric space. |
| Keywords: | Sobolev function class weak derivative energy functional function with the Lipschitz condition separable complete metric space function with values in metric spaces |
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