JournalszaaVol. 42, No. 1/2pp. 157–169

Real interpolations for martingale Hardy–Orlicz–Lorentz spaces

  • Wenfei Fan

    Central South University, Changsha, China

  • Yanmeng Li

    Central South University, Changsha, China

  • Lian Wu

    Central South University, Changsha, China
Real interpolations for martingale Hardy–Orlicz–Lorentz spaces cover

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Abstract

The purpose of this paper is to provide a new proof of real interpolations for martingale Hardy–Orlicz–Lorentz spaces. Different from the usual proof, our approach does not rely on any atomic decompositions. Instead, we establish the result via new Holmstedt’s formulae in martingale Hardy–Orlicz type spaces.

Cite this article

Wenfei Fan, Yanmeng Li, Lian Wu, Real interpolations for martingale Hardy–Orlicz–Lorentz spaces. Z. Anal. Anwend. 42 (2023), no. 1/2, pp. 157–169

DOI 10.4171/ZAA/1726