Differences of the weighted differentiation composition operators from mixed-norm spaces to weighted-type spaces

• Date: 2016
• Main Authors: Chen, Cui, Zhou, Ze-Hua, Чень, Цуй, Чжоу, Цзи-Хуа
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1883
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We characterize the boundedness and compactness of the differences of weighted differentiation composition operators $D^n_{\varphi_1, u_1} - D^n_{\varphi_2, u_2}$, where $n \in N_0, u_1, u_2 \in H(D)$, and $\varphi_1, \varphi_2 \in S(D)$, from mixed-norm spaces $H(p, q, \phi)$, where $0 <...