Real interpolations for martingale Hardy–Orlicz–Lorentz spaces
Wenfei Fan
Central South University, Changsha, ChinaYanmeng Li
Central South University, Changsha, ChinaLian Wu
Central South University, Changsha, China
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