'Analogue of Hartogs' Lemma for Pluriharmonic Functions
In this paper, an analogue of the Hartogs’ lemma for pluriharmonic functions is proved. The conditions of the theorem are, of course, necessary for the pluriharmonicity of functions of many variables. Conditions 1, characterizing the harmonicity of a function in direction is standard in theorems of continuation along lines. It defines the principle of continuation of a function in a direction
Institutions
- National Pedagogical University of Uzbekistan named after Nizami (UZ)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2024-10-27
- DOI
- https://doi.org/10.5281/zenodo.13998712
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00