Extrapolation results of Lions-Peetre type

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• 作者：Fernando Cobos (1)
  Thomas Kühn (2)
  
• 关键词：47B06 ; 46B70 ; 46E35 ; 46E30
• 刊名：Calculus of Variations and Partial Differential Equations
• 出版年：2014
• 出版时间：January 2014
• 年：2014
• 卷：49
• 期：1-2
• 页码：847-860
• 全文大小：224 KB
• 作者单位：Fernando Cobos (1)
  Thomas Kühn (2)
  
  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain
  2. Mathematisches Institut, Universit?t Leipzig, Augustusplatz 10, 04109, Leipzig, Germany
  
• ISSN：1432-0835

文摘

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.