Real interpolations for martingale Hardy–Orlicz–Lorentz spaces

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2023-09-13 DOI:10.4171/zaa/1726

Wenfei Fan, Yanmeng Li, Lian Wu

引用次数: 0

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.

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鞅Hardy-Orlicz-Lorentz空间的实插值

本文的目的是为鞅Hardy-Orlicz-Lorentz空间的实插值提供一个新的证明。与通常的证明不同，我们的方法不依赖于任何原子分解。相反，我们通过鞅Hardy-Orlicz型空间中的新Holmstedt公式来建立结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.