Boundedness of the $L$-index in the direction of the composition of slice entire functions and slice holomorphic functions in the unit ball

• Date: 2024
• Main Authors: Bandura, A., Salo, T., Skaskiv, O., Бандура, Андрій, Сало, Тетяна, Скасків, Олег
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8153
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.55 We study the composition $F(z):=f(\underbrace{\Phi(z),\ldots,\Phi(z)}_{m\text{ times}})\colon\mathbb{C}^n\to\mathbb{C}$, $n\geq 1, m\geq 1,$ where $\Phi\colon\mathbb{B}^n\to\mathbb{C}$ is a slice holomoprphic function in the unit ball and  $f\colon\mathbb{C}^m\to\mathbb{C}$ i...