CLASSIC CONDENSER CAPACITY AND A NEW CAPACITY IN THE CLASS OF m − sh

Article Sidebar

pdf
Published: Dec 15, 2023
Keywords:
m-subharmonic functions, Laplace operator, capacity, condenser capacity, external capacity, m-convex domain, m-capacity.

Main Article Content

Akramov N. S.
PhD student of Department of mathematical analysis, National University of Uzbekistan

Abstract

In this work we will construct connection between classic condenser capacity and a new capacity in the class of m − sh functions.

Article Details

How to Cite
Akramov N. S. (2023). CLASSIC CONDENSER CAPACITY AND A NEW CAPACITY IN THE CLASS OF m − sh. Proceedings of International Conference on Modern Science and Scientific Studies, 2(12), 254–256. Retrieved from https://econferenceseries.com/index.php/icmsss/article/view/3279
Issue
Vol. 2 No. 12 (2023): SCMS
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

Abdullaev B.I.” Potential theory on m-subharmonic functions.” DSc diss., Urgench State University, 2016 (in Russian).

Sadullaev A.” Pluripotential theory. Applications.”// Palmarium Academic Publishing, 2012(in Russian).

Sadullaev A., Operator (ddcu)n and conductor capacities // DAN USSR, T.251:1, 1980, p. 44-57(in Russian).

Rakhimov K., Cn-capacity, defined by Laplacian // Uzbek Mathematical Journal, 2012, No2, pp. 99-105 (in Russian).

Bedford E. and Taylor B.A. A new capacity for plurisubharmonic functions// Acta Math. 1982.V. 149. P. 1- 40.

Beckenbach E., Bellman R. Inequalities. M.: Mir, 1961. pp. 65-68 (in Russian).

Brelo M. Fundamentals of classical potential theory. M.: Mir, 1964. p. 41-74 (in Russian).

Landkof N. S. Fundamentals of modern potential theory. M.: Nauka, 1966. p. 167-244 (in Russian).

Sadullaev A., Rakhimov K. Capacity Dimension of the Brjuno Set, Indiana University Mathematics Journal Vol. 64, No. 6 (2015), pp. 1829-1834.

Aupetit B., Wermer J., Capacity and uniform algebras. J. Functional Analysis, V.28, (1978), 386-400.

Levenberg N., Taylor B.A., Comparison of capacities in Cn. Lecture Notes in Mathem., V.1094, (1984), 162-172.

Alexander H., Taylor B.A., Comparison of two capacities in Cn . Math. Z., V.186, (1984), 407-417.

Alexander H., Projective capacity. Ann.of Math.Studies, No100, (1981), 1-27.

Sadullaev A., Plurisubharmonic measures and capacities on complex manifolds. Uspekhi mat. nauk, T.36: 4, (1981), 53-105.