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Characterization of associate spaces of weighted Lorentz spaces with applications

Volume 224 / 2014

Amiran Gogatishvili, Luboš Pick, Filip Soudský Studia Mathematica 224 (2014), 1-23 MSC: Primary 46E30. DOI: 10.4064/sm224-1-1

Abstract

We characterize associate spaces of weighted Lorentz spaces $G\varGamma (p,m,w)$ and present some applications of this result including necessary and sufficient conditions for a Sobolev-type embedding into $L^ {\infty }$.

Authors

  • Amiran GogatishviliInstitute of Mathematics
    Academy of Sciences of the Czech Republic
    Žitná 25
    115 67 Praha 1, Czech Republic
    e-mail
  • Luboš PickDepartment of Mathematical Analysis
    Faculty of Mathematics and Physics
    Charles University
    Sokolovská 83
    186 75 Praha 8, Czech Republic
    e-mail
  • Filip SoudskýDepartment of Mathematical Analysis
    Faculty of Mathematics and Physics
    Charles University
    Sokolovská 83
    186 75 Praha 8, Czech Republic
    e-mail

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