A remark on John – Nirenberg theorem for martingales

• Datum: 2018
• Hauptverfasser: Li, L., Лі, Л.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1661
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

This paper is mainly devoted to establishing an extension of the John – Nirenberg theorem for martingales, more precisely, let $1 < p < \infty$ and $0 < q < \infty$. If the stochastic basis $(\scr {F_n})_n\geq 0$ is regular, then $BMO_{p,q} = BMO_1$ with the equivalent n...