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Interpolation theorem for Marcinkiewicz spaces with applications to Lorentz gamma spaces

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  • Vít Musil
  • Rastislav Oľhava

Abstract

This paper is devoted to the interpolation principle between spaces of weak type. We characterise interpolation spaces between two Marcinkiewicz spaces in terms of Hardy type operators involving suprema. We study general properties of such operators and their behavior on Lorentz gamma spaces. A particular emphasis is placed on elementary and comprehensive proofs.

Suggested Citation

  • Vít Musil & Rastislav Oľhava, 2019. "Interpolation theorem for Marcinkiewicz spaces with applications to Lorentz gamma spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 292(5), pages 1106-1121, May.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:5:p:1106-1121
    DOI: 10.1002/mana.201700452
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