Removable Singularities of Separately Harmonic Functions
S. A. ImomkulovKhorezm Regional Branch of the V. I. Romanovsky Mathematical Institute Academy of Sciences of the Republic of UzbekistanSultanbay AbdikadirovKarakalpak State University
ABI
Аннотация
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}.
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