Interpolation theorem for Marcinkiewicz spaces with applications to Lorentz gamma spaces

Vít Musil and Rastislav Oľhava

Mathematische Nachrichten, 2019, vol. 292, issue 5, 1106-1121

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.

Date: 2019
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