Composition operators from \(p\)-Bloch space to \(q\)-Bloch space on the fourth Cartan-Hartogs domains (Q2405796)

Summary: We obtain new generalized Hua's inequality corresponding to \(Y_{\text{IV}}(N, n; K)\), where \(Y_{\text{IV}}(N, n; K)\) denotes the fourth Cartan-Hartogs domain in \(\mathbb{C}^{N + n}\). Furthermore, we introduce the weighted Bloch spaces on \(Y_{\text{IV}}(N, n; K)\) and apply our inequality to study the boundedness and compactness of composition operator \(C_\phi\) from \(\beta^p(Y_{\text{IV}}(N, n; K))\) to \(\beta^q(Y_{\text{IV}}(N, n; K))\) for \(p \geq 0\) and \(q \geq 0\).