Cluster sets of subharmonic functions and associated measures in a cone
The studies made in the paper and the obtained results are based on some results and notions introduced by V. S. Azarin in 1976 and 1979 in two papers, quoted in the bibliography, concerning subharmonic functions of finite order in \({\mathbb{R}}^ n\). In the present paper, continuing their own studies and results, published in some papers in the period 1987- 1990, the authors extend the corresponding results to the subharmonic functions in a cone of \({\mathbb{R}}^ n\). Many results are obtained that are too difficult to enumerate in a review, some of them similar to those in the case of the functions defined in \({\mathbb{R}}^ n\), others to the functions defined in a cone. All of them could be grouped in three groups, corresponding to the three chapters of the paper: fundamental notions, connection between classes of functions and measures, connection between boundary cluster of functions and measures.
scientific article; zbMATH DE number 4214346