On Bloom-type characterizations of the higher-order commutators of Marcinkiewicz integrals

• Date: 2024
• Main Authors: Chen, Yanping, Tian, Tian
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7466
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Let $\Omega$ be homogeneous of degree zero, have mean value zero, and integrable on the unit sphere.  For $m\in \mathbb N,$ let $b\in  L_{\rm loc}^1(\mathbb R^n)$ and let the higher-order commutator of the  Marcinkiewicz integral $\mu_{\O...