Random Dirichlet type functions on the unit ball of \(\mathbb{C}^n\)
The authors study two aspects of random Dirichlet type functions on the unit ball of \(\mathbb{C}^n\). One is the pointwise multiplier property into the Dirichlet type spaces and the other is the smoothness property given by Lipschitz conditions. The authors generalize previously known one dimensional results obtained in the work [\textit{W. G. Cochran, J. H. Shapiro} and \textit{D. C. Ullrich}, Can. J. Math. 45, No. 2, 255-268 (1993; Zbl 0776.30002)]. While the main idea comes from the above mentioned paper, there are some technicalities caused by the higher dimensions.
scientific article; zbMATH DE number 1385324