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Siberian Mathematical Journal

, Volume 45, Issue 4, pp 709–721 | Cite as

Sobolev-Type Classes of Functions with Values in a Metric Space. II

  • Yu. G. Reshetnyak
Article

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.

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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References

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    Reshetnyak Yu. G., “obolev-type classes of functions with values in a metric space,” Sibirsk. Mat. Zh., 38, No. 3Google Scholar
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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • Yu. G. Reshetnyak
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirsk

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