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Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces

Volume 410 / 2002

David E. Edmunds, Bohumír Opic Dissertationes Mathematicae 410 (2002), 1-50 MSC: 26D10, 42B25, 46E30, 47B38, 47G10, 46B70 DOI: 10.4064/dm410-0-1

Abstract

We derive conditions, which are both necessary and sufficient, for the boundedness of (power-logarithmic) fractional maximal operators between classical and weak-type Lorentz spaces.

Authors

  • David E. EdmundsCentre for Mathematical Analysis
    and its Applications
    University of Sussex
    Falmer, Brighton BN1 9QH, England
    e-mail
  • Bohumír OpicMathematical Institute
    Academy of Sciences
    of the Czech Republic
    Žitná 25
    115 67 Praha 1, Czech Republic
    e-mail

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