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Extrapolation results of Lions-Peetre type

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Abstract

We establish compactness results for extrapolation constructions which correspond to the well-known Lions-Peetre compactness theorems of interpolation theory. Applications are given to compactness of certain limiting Sobolev embeddings.

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Acknowledgments

The authors have been supported in part by the Spanish Ministerio de Economía y Competitividad (MTM2010-15814).

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain

    Fernando Cobos

  2. Mathematisches Institut, Universität Leipzig, Augustusplatz 10, 04109, Leipzig, Germany

    Thomas Kühn

Authors
  1. Fernando Cobos
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  2. Thomas Kühn
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Corresponding author

Correspondence to Fernando Cobos.

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Communicated by L.Ambrosio.

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Cobos, F., Kühn, T. Extrapolation results of Lions-Peetre type. Calc. Var. 49, 847–860 (2014). https://doi.org/10.1007/s00526-013-0602-z

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  • DOI: https://doi.org/10.1007/s00526-013-0602-z

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