Sobolev-type theorem for commutators of Hardy operators in grand Herz spaces

• Date: 2024
• Main Authors: Sultan, Babar, Sultan, Mehvish
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7546
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 The higher-order commutators of  fractional Hardy-type operators  of variable order $\zeta(z)$ are shown to be bounded from the  grand variable  Herz spaces ${\dot{K} ^{a(\cdot), u),\theta}_{ p(\cdot)}(\mathbb{R}^n)}$ into the weighted sp...