Acta Mathematica Hungarica

, Volume 104, Issue 3, pp 203–224 | Cite as

Multidimensional rearrangement and Lorentz spaces

  • Sorina Barza
  • Lars-Erik Persson
  • Javier Soria


We define a multidimensional rearrangement, which is related to classical inequalities for functions that are monotone in each variable. We prove the main measure theoretical results of the new theory and characterize the functional properties of the associated weighted Lorentz spaces.

rearrangement function spaces Lorentz spaces monotone functions weighted inequalities 


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Copyright information

© Kluwer Academic Publisher/Akadémiai Kiadó 2004

Authors and Affiliations

  • Sorina Barza
    • 1
  • Lars-Erik Persson
    • 2
  • Javier Soria
    • 3
  1. 1.Department of MathematicsKarlstad UniversityKarlstadSweden
  2. 2.Department of MathematicsLuleå UniversityLuleåSweden
  3. 3.Department of Applied Mathematics and AnalysisUniversity of BarcelonaBarcelonaSpain

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