Asymptotic maximum principles for subharmonic functions
The short note under review deals with the maximum principle for subharmonic functions. The maximum principle in the Euclidean setting proven in [\textit{B. Fuglede}, Math. Ann. 213, 261--274 (1975; Zbl 0283.31001)] and the maximum principle in the Martin boundary setting proven in [\textit{L. Naïm}, Ann. Inst. Fourier 7, 183--281 (1957; Zbl 0086.30603)] are generalized. The concepts of asymptotic values and of asymptotic tracts are used in the formulation of the new maximum principles. The paper is well written.
scientific article; zbMATH DE number 5305530
scientific article