N. Zorii

activity

20092025

most citedInterior capacities of condensers with infinitely many plates in a locally compact space

3 citations · 9 across the 30 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CA2023

Fractional harmonic measure in minimum Riesz energy problems with external fields

Natalia Zorii

For the Riesz kernel $κ_{α} (x, y) := ∣ x - y ∣^{α - n}$ on $R^{n}$ , where $n ⩾ 2$ , $α \in (0, 2]$ , and $α < n$ , we consider the problem of minimizing the Gauss functional \[\intκ_α(x,y…

math.CA2023

Inner Riesz balayage in minimum energy problems with external fields

Natalia Zorii

math.CA2023

Inner Riesz pseudo-balayage and its applications to minimum energy problems with external fields

Natalia Zorii

For the Riesz kernel $κ_{α} (x, y) := ∣ x - y ∣^{α - n}$ , $0 < α < n$ , on $R^{n}$ , $n ⩾ 2$ , we introduce the inner pseudo-balayage $ω^^{A}$ of a (Radon) measure $ω$ on $R^{n}$ t…