N. Zorii

collaborators

6 papers

math.CA2025

Weighted minimum $I^\pm$ -Green energy problems

Natalia Zorii

For the $I^\pm$ -Green kernel $g^{I^} \pm_{D}$ on a domain $D \subset R^{n}$ , $n ⩾ 2$ , associated with the $I^\pm$ -Riesz kernel $∣ x - y ∣^{I^\pm- n}$ , where $I^\pm \in (0, n)$ and $I^\pm ⩽ 2$ , an…

math.CA2025

On Fuglede's problem on pseudo-balayage for signed Radon measures of infinite energy

Natalia Zorii

For suitable kernels on a locally compact space, we develop a theory of inner (outer) pseudo-balayage of quite general signed Radon measures (not necessarily of finite energy) onto…

math.CA2025

General theory of balayage on locally compact spaces. Applications to weighted minimum energy problems

Natalia Zorii

Under suitable requirements on a kernel on a locally compact space, we develop a theory of inner (outer) balayage of quite general Radon measures $I ¨ $ (not necessarily of finite en…

math.CA2024

Balayage, equilibrium measure, and Deny's principle of positivity of mass for $I^\pm$ -Green potentials

Natalia Zorii

In the theory of $g_{I^} \pm$ -potentials on a domain $D \subset R^{n}$ , $n ⩾ 2$ , $g_{I^} \pm$ being the $I^\pm$ -Green kernel associated with the $I^\pm$ -Riesz kernel $∣ x - y ∣^{I^\pm- n}$ of orde…

math.CA2024

Integral representation of balayage on locally compact spaces and its application

Natalia Zorii

In the theory of inner and outer balayage of positive Radon measures on a locally compact space $X$ to arbitrary $A \subset X$ with respect to suitable, quite general function kerne…

math.CA2024

Balayage of Radon measures of infinite energy on locally compact spaces

Natalia Zorii

For suitable kernels on a locally compact space $X$ , we develop a theory of inner balayage of quite general Radon measures $I ¨ $ (not necessarily of finite energy) to arbitrary $A\s…

Weighted minimum I^±-Green energy problems

On Fuglede's problem on pseudo-balayage for signed Radon measures of infinite energy

General theory of balayage on locally compact spaces. Applications to weighted minimum energy problems

Balayage, equilibrium measure, and Deny's principle of positivity of mass for I^±-Green potentials

Integral representation of balayage on locally compact spaces and its application

Balayage of Radon measures of infinite energy on locally compact spaces

Weighted minimum $I^\pm$ -Green energy problems

Balayage, equilibrium measure, and Deny's principle of positivity of mass for $I^\pm$ -Green potentials