数学季刊 ›› 2022, Vol. 37 ›› Issue (1): 88-93.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.009

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鞅空间的两个嵌入定理

  

  1. School of Mathematics and Statistics, Henan University
  • 收稿日期:2022-01-26 出版日期:2022-03-30 发布日期:2022-03-30
  • 通讯作者: FAN Li-ping (1982-), Female, native of Jiyuan, Henan, associate professor of Henan University, engages in martingale theory. E-mail:lipingfan@henu.edu.cn
  • 作者简介: FAN Li-ping (1982-), Female, native of Jiyuan, Henan, associate professor of Henan University, engages in martingale theory.

Two Embedding Theorems in Martingale Spaces

  1. School of Mathematics and Statistics, Henan University
  • Received:2022-01-26 Online:2022-03-30 Published:2022-03-30
  • Contact: FAN Li-ping (1982-), Female, native of Jiyuan, Henan, associate professor of Henan University, engages in martingale theory. E-mail:lipingfan@henu.edu.cn
  • About author: FAN Li-ping (1982-), Female, native of Jiyuan, Henan, associate professor of Henan University, engages in martingale theory.

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摘要： 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.

关键词: Good?λ inequality, Martingale, Lorentz space, Weak Orlicz-Lorentz space

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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