Зорій Наталія Василівна
Публікації
Статті за 2016–2025 рр.
1. Zorii N., Minimum Riesz energy problems for a condenser with touching plates. Potential Anal. 44, 543–577 (2016). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11118-015-9519-9, arXiv:1710.01950
2. Zorii N., Rapid solution of minimal Riesz energy problems. Numer. Methods Partial Differ. Equ. 32, 1535–1552 (2016). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/num.22060
3. Zorii N., Constrained Gauss variational problems for a condenser with intersecting plates. Ann. Polon. Math. 120, 227–260 (2017). (Jointly with Fuglede B.) https://doi.org/10.4064/ap170619-2-12
4. Zorii N., Minimal energy problems for strongly singular Riesz kernels. Math. Nachr. 291, 55–85 (2018). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/mana.201600024, arXiv:1602.08544
5. Zorii N., Green kernels associated with Riesz kernels. Ann. Acad. Sci. Fenn. Math. 43, 121–145 (2018). (Jointly with Fuglede B.) https://doi.org/10.5186/aasfm.2018.4305,arXiv:1610.00268
6. Zorii N., Condensers with touching plates and constrained minimum Riesz and Green energy problems. Constr. Appr. 50, 369–401 (2019). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s00365-019-09454-5, arXiv:1711.05484
7. Zorii N., An alternative concept of Riesz energy of measures with application to generalized condensers. Potential Anal. 51, 197–217 (2019). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-018-9709-3, arXiv:1803.11079
8. Zorii N., Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser. Hiroshima Math. J. 49, 399–437 (2019). (Jointly with Fuglede B.) https://doi.org/10.32917/hmj/1573787036, arXiv:1802.07171
9. Zorii N., Condensers with infinitely many touching Borel plates and minimum energy problems. Bull. Pol. Acad. Sci. Math. 67, 125–163 (2019) https://doi.org/10.4064/ba190414-29-11, arXiv:1903.08917
10. Zorii N., Various concepts of Riesz energy of measures and application to condensers with touching plates. Potential Anal. 53, 1191–1223 (2020). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-019-09803-w, arXiv:1810.00791
11. Zorii N., A theory of inner Riesz balayage and its applications. Bull. Pol. Acad. Sci. Math. 68, 41–67 (2020). https://doi.org/10.4064/ba191104-31-1
12. Zorii N., Constrained minimum Riesz energy problems for a condenser with intersecting plates. Journal d'Analyse Math. (2020), 43 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11854-020-0091-x
13. Zorii N., A concept of weak Riesz energy with application to condensers with touching plates. Anal. Math. Phys. 10, 43 (2020), 33 pp. https://doi.org/10.1007/s13324-020-00384-1, arXiv:1911.12406
14. Zorii N., Harmonic measure, equilibrium measure, and thinness at infinity in the theory of Riesz potentials, Potential Anal. 57, 447--472 (2022), https://doi.org/10.1007/s11118-021-09923-2, arXiv:2006.12364
15. Zorii N., Balayage of measures on a locally compact space,
Anal. Math. 48, 249--277 (2022), https://doi.org/10.1007/s10476-022-0122-1, arXiv:2010.07199
16. Zorii N., On the theory of capacities on locally compact spaces and its interaction with the theory of balayage, Potential Anal., 59, 1345--1379 (2023), https://doi.org/10.1007/s11118-022-10010-3
17. Zorii N., On the theory of balayage on locally compact spaces, Potential Anal. 59, 1727--1744 (2023), https://doi.org/10.1007/s11118-022-10024-x
18. Zorii N., Minimum Riesz energy problems with external fields, J. Math. Anal. Appl. 526, 127235 (2023), 32 pp., https://doi.org/10.1016/j.jmaa.2023.127235
19. Zorii N., On the role of the point at infinity in Deny's principle of positivity of mass for Riesz potentials, Anal. Math. Phys. 13, 38 (2023), 18 pp., https://doi.org/10.1007/s13324-023-00793-y
20. Zorii N., Minimum energy problems with external fields on locally compact spaces, Constr. Approx. 59, 385--417 (2024), https://doi.org/10.1007/s00365-023-09643-3
21. Zorii N., Inner Riesz pseudo-balayage and its applications to minimum energy problems with external fields, Potential Anal. 60, 1271--1300 (2024), https://doi.org/10.1007/s11118-023-10087-4
22. Zorii N., On an extension of Fuglede’s theory of pseudo-balayage and its applications, Expo. Math., 125630 (2024), 21 pp., https://doi.org/10.1016/j.exmath.2024.125630.
23.Zorii N., Balayage, equilibrium measure, and Deny's principle of positivity of mass for α-Green potentials, Anal. Math. Phys. (2024), 20 pp.,
https://doi.org/10.1007/s13324-024-00995-y.
24. Zorii N., Integral representation of balayage on locally compact spaces and its application, Anal. Math. Phys. 15, 13 (2025), 14 pp., https://doi.org/10.1007/s13324-024-01007-9, arXiv:2407.13440
Неопубліковані препринти за 2023–2025
1. Zorii N., Balayage of Radon measures of infinite energy on locally compact spaces, 18 pp., arXiv:2406.18161, https://doi.org/10.48550/arXiv.2406.18161
2. Zorii N., On the theory of pseudo-balayage on a locally compact space and its applications, 22 pp., arXiv:2406.11874,
https://doi.org/10.48550/arXiv.2406.11874
3. Zorii N., Inner Riesz balayage in minimum energy problems with external fields, 22 pp., arXiv:2306.12788v2,
https://doi.org/10.48550/arXiv.2306.12788
4. Zorii N., On the theory of balayage on locally compact spaces and its applications, 25 pp., arXiv:2401.11043,
https://doi.org/10.48550/arXiv.2401.11043
5. Zorii N., Fractional harmonic measure in minimum Riesz energy problems with external fields, 24 pp., arXiv:2311.18081, https://doi.org/10.48550/arXiv.2311.18081
1. Zorii N., Minimum Riesz energy problems for a condenser with touching plates. Potential Anal. 44, 543–577 (2016). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11118-015-9519-9, arXiv:1710.01950
2. Zorii N., Rapid solution of minimal Riesz energy problems. Numer. Methods Partial Differ. Equ. 32, 1535–1552 (2016). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/num.22060
3. Zorii N., Constrained Gauss variational problems for a condenser with intersecting plates. Ann. Polon. Math. 120, 227–260 (2017). (Jointly with Fuglede B.) https://doi.org/10.4064/ap170619-2-12
4. Zorii N., Minimal energy problems for strongly singular Riesz kernels. Math. Nachr. 291, 55–85 (2018). (Jointly with Harbrecht H., Wendland W.L.) https://doi.org/10.1002/mana.201600024, arXiv:1602.08544
5. Zorii N., Green kernels associated with Riesz kernels. Ann. Acad. Sci. Fenn. Math. 43, 121–145 (2018). (Jointly with Fuglede B.) https://doi.org/10.5186/aasfm.2018.4305,arXiv:1610.00268
6. Zorii N., Condensers with touching plates and constrained minimum Riesz and Green energy problems. Constr. Appr. 50, 369–401 (2019). (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s00365-019-09454-5, arXiv:1711.05484
7. Zorii N., An alternative concept of Riesz energy of measures with application to generalized condensers. Potential Anal. 51, 197–217 (2019). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-018-9709-3, arXiv:1803.11079
8. Zorii N., Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser. Hiroshima Math. J. 49, 399–437 (2019). (Jointly with Fuglede B.) https://doi.org/10.32917/hmj/1573787036, arXiv:1802.07171
9. Zorii N., Condensers with infinitely many touching Borel plates and minimum energy problems. Bull. Pol. Acad. Sci. Math. 67, 125–163 (2019) https://doi.org/10.4064/ba190414-29-11, arXiv:1903.08917
10. Zorii N., Various concepts of Riesz energy of measures and application to condensers with touching plates. Potential Anal. 53, 1191–1223 (2020). (Jointly with Fuglede B.) https://doi.org/10.1007/s11118-019-09803-w, arXiv:1810.00791
11. Zorii N., A theory of inner Riesz balayage and its applications. Bull. Pol. Acad. Sci. Math. 68, 41–67 (2020). https://doi.org/10.4064/ba191104-31-1
12. Zorii N., Constrained minimum Riesz energy problems for a condenser with intersecting plates. Journal d'Analyse Math. (2020), 43 pp. (Jointly with Dragnev P.D., Fuglede B., Hardin D.P., Saff E.B.) https://doi.org/10.1007/s11854-020-0091-x
13. Zorii N., A concept of weak Riesz energy with application to condensers with touching plates. Anal. Math. Phys. 10, 43 (2020), 33 pp. https://doi.org/10.1007/s13324-020-00384-1, arXiv:1911.12406
14. Zorii N., Harmonic measure, equilibrium measure, and thinness at infinity in the theory of Riesz potentials, Potential Anal. 57, 447--472 (2022), https://doi.org/10.1007/s11118-021-09923-2, arXiv:2006.12364
15. Zorii N., Balayage of measures on a locally compact space,
Anal. Math. 48, 249--277 (2022), https://doi.org/10.1007/s10476-022-0122-1, arXiv:2010.07199
16. Zorii N., On the theory of capacities on locally compact spaces and its interaction with the theory of balayage, Potential Anal., 59, 1345--1379 (2023), https://doi.org/10.1007/s11118-022-10010-3
17. Zorii N., On the theory of balayage on locally compact spaces, Potential Anal. 59, 1727--1744 (2023), https://doi.org/10.1007/s11118-022-10024-x
18. Zorii N., Minimum Riesz energy problems with external fields, J. Math. Anal. Appl. 526, 127235 (2023), 32 pp., https://doi.org/10.1016/j.jmaa.2023.127235
19. Zorii N., On the role of the point at infinity in Deny's principle of positivity of mass for Riesz potentials, Anal. Math. Phys. 13, 38 (2023), 18 pp., https://doi.org/10.1007/s13324-023-00793-y
20. Zorii N., Minimum energy problems with external fields on locally compact spaces, Constr. Approx. 59, 385--417 (2024), https://doi.org/10.1007/s00365-023-09643-3
21. Zorii N., Inner Riesz pseudo-balayage and its applications to minimum energy problems with external fields, Potential Anal. 60, 1271--1300 (2024), https://doi.org/10.1007/s11118-023-10087-4
22. Zorii N., On an extension of Fuglede’s theory of pseudo-balayage and its applications, Expo. Math., 125630 (2024), 21 pp., https://doi.org/10.1016/j.exmath.2024.125630.
23.Zorii N., Balayage, equilibrium measure, and Deny's principle of positivity of mass for α-Green potentials, Anal. Math. Phys. (2024), 20 pp.,
https://doi.org/10.1007/s13324-024-00995-y.
24. Zorii N., Integral representation of balayage on locally compact spaces and its application, Anal. Math. Phys. 15, 13 (2025), 14 pp., https://doi.org/10.1007/s13324-024-01007-9, arXiv:2407.13440
Неопубліковані препринти за 2023–2025
1. Zorii N., Balayage of Radon measures of infinite energy on locally compact spaces, 18 pp., arXiv:2406.18161, https://doi.org/10.48550/arXiv.2406.18161
2. Zorii N., On the theory of pseudo-balayage on a locally compact space and its applications, 22 pp., arXiv:2406.11874,
https://doi.org/10.48550/arXiv.2406.11874
3. Zorii N., Inner Riesz balayage in minimum energy problems with external fields, 22 pp., arXiv:2306.12788v2,
https://doi.org/10.48550/arXiv.2306.12788
4. Zorii N., On the theory of balayage on locally compact spaces and its applications, 25 pp., arXiv:2401.11043,
https://doi.org/10.48550/arXiv.2401.11043
5. Zorii N., Fractional harmonic measure in minimum Riesz energy problems with external fields, 24 pp., arXiv:2311.18081, https://doi.org/10.48550/arXiv.2311.18081