Introduction to potential theory in the class of m-convex functions
In this work we will give the very initial concepts of potential theory (m-cv polar sets, m-cv measures and their properties) in the class of m-convex (m-cv) functions in the domain D ? Rnx. In particular, we will prove that for a m ? cv measure ?*(x, E,D) its Hessian Hn?m+1,?* = 0 in the domain D\E.
Authors
- Azimbay Sadullaev (ORCID: https://orcid.org/0000-0003-4188-1732)
- Руслан Шарипов (ORCID: https://orcid.org/0000-0002-3033-3047)
Institutions
- Academy of Sciences Republic of Uzbekistan (UZ)
- Urgench State University (UZ)
- National University of Uzbekistan (UZ)
Publication Details
- Journal
- Filomat
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/fil2509029s
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00