Real interpolations for martingale Hardy–Orlicz–Lorentz spaces

Wenfei Fan; Yanmeng Li; Lian Wu

doi:10.4171/zaa/1726

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

Real interpolations for martingale Hardy–Orlicz–Lorentz spaces

Wenfei Fan
Central South University, Changsha, China
- MathSciNet
- zbMATH Open
Yanmeng Li
Central South University, Changsha, China
- MathSciNet
Lian Wu
Central South University, Changsha, China
- MathSciNet

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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