Characterizations of \(\alpha \)-Bloch functions on the unit ball without use of derivative
By introducing a distance \(L_{\alpha, t}(z, w)\) between \(z\) and \(w\), the author establishes some characterizations of \(\alpha\)-Bloch functions on the unit ball of \(\mathbb{C}^n\) without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao. In the proofs of the main results, it is important to give the estimation of the length of a curve under the metric \(F_z^\alpha(w)\) for any \(\alpha>0\).
scientific article; zbMATH DE number 5643347