Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (3)
- Authors
- Imomkulov, Sevdiyor A.; Abdikadirov, Sultanbay M.
- Contact information
- Imomkulov, Sevdiyor A.: Khorezm Regional Branch of the V. I. Romanovsky Mathematical Institute Academy of Sciences of the Republic of Uzbekistan Urgench, Uzbekistan; ; Abdikadirov, Sultanbay M.: Karakalpak State University Nukus, Uzbekistan;
- Keywords
- separately harmonic function; pseudoconvex domain; Poisson integral; P-measure
- Abstract
Removable singularities of separately harmonic functions are considered. More precisely, we prove harmonic continuation property of a separately harmonic function u(x, y) in D \ S to the domain D, when D ⊂ Rn(x) × Rm(y), n,m > 1 and S is a closed subset of the domain D with nowhere dense projections S1 = {x ∈ Rn : (x, y) ∈ S} and S2 = {y ∈ Rm : (x, y) ∈ S}.
- Pages
- 369–375
- DOI
- 10.17516/1997-1397-2021-14-3-369-375
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/140052
Journal of Siberian Federal University. Mathematics & Physics / Removable Singularities of Separately Harmonic Functions
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