Two Embedding Theorems in Martingale Spaces

FAN Li-ping

doi:10.13371/j.cnki.chin.q.j.m.2022.01.009

Chinese Quarterly Journal of Mathematics >

2022 , Vol. 37 >Issue 1: 88 - 93

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.01.009

Two Embedding Theorems in Martingale Spaces

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School of Mathematics and Statistics, Henan University

FAN Li-ping (1982-), Female, native of Jiyuan, Henan, associate professor of Henan University, engages in martingale theory.

Received date: 2022-01-26

Online published: 2022-03-30

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Abstract

It is proved in this paper that a pair of measurable functions satisfying the good −λ inequality yields quasi-norm inequalities in Lorentz spaces and weak Orlicz-Lorentz spaces. By use of this conclusion two embedding theorems are obtained in martingale spaces.

Key words： Good?λ inequality; Martingale; Lorentz space; Weak Orlicz-Lorentz space

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FAN Li-ping . Two Embedding Theorems in Martingale Spaces[J]. Chinese Quarterly Journal of Mathematics, 2022 , 37(1) : 88 -93 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.01.009

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