Some finite weighted energy classes of m-subharmonic functions.

Autor: Hung, Vu Viet, Quy, Hoang Nhat
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Zdroj: International Journal of Mathematics; Dec2021, Vol. 32 Issue 14, p1-14, 14p
Abstrakt: Let Ω ⊂ ℂ n be a bounded m -hyperconvex domain (1 ≤ m ≤ n) and χ be a weighted function. In this paper, we first prove a characterization of the finite weighted energy class ℰ m , χ (Ω) and give an upper-bound for C m -capacity in the class ℰ k , χ (Ω) ∩ ℋ m − (Ω). Then, by using these estimates, we construct some classes of finite weighted energy functions in m -subharmonic functions class and give some corollaries about the relationship between these finite weighted energy functions classes. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index