Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Sadullaev, Azimbay; Sharipov, Rasulbek; Ismoilov, Mukhiddin
- Contact information
- Sadullaev, Azimbay: National University of Uzbekistan; V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of Uzbekistan Tashkent, Uzbekistan; ; Sharipov, Rasulbek : Urgench State University Urgench, Uzbekistan; OCRID: 0000-0002-3033-3047
- Keywords
- m-subharmonic function; convex function; m-convex function; m − cv polar set; m − cv measure; Borel measures; Hessians
- Abstract
In this work we study very basic concepts of potential theory: polar sets and m−cv measures in the class of m-convex functions in real space Rn. We also study capacity of condenser C(E, D) in the class m-convex functions and will prove a number of its potential properties
- Pages
- 387–401
- EDN
- NUMFOQ
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/155086
Journal of Siberian Federal University. Mathematics & Physics / m cv measure ω* (x, E, D) and condenser capacity C(E, D) in the class m-convex functions
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