Generalized composition operators from \(\mathcal{B}_\mu\) spaces to \(Q_{K, \omega}(p, q)\) spaces (Q1725221)

Summary: Let \(0<p<\infty\), let \(-2 < q < \infty\), and let \(\varphi\) be an analytic self-map of \(\mathbb D\) and \(g \in H(\mathbb D)\). The boundedness and compactness of generalized composition operators \((C^g_{\varphi}f)(z)=\int^z_0 f'(\varphi(\xi))g(\xi)\,d\xi\), \(z \in \mathbb D\), \(f \in H(\mathbb D)\), from \(\mathcal B_{\mu}(\mathcal B_{\mu,0})\) spaces to \(Q_{K,\omega} (p, q)\) spaces are investigated.