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Introduction to potential theory in the class of m-convex functions

Azimbay SadullaevNational University of Uzbekistan, Mathematical Institut of Uzbek Akademy, Tashkent, UzbekistanРуслан ШариповUrgench State University, Mathematical Institut of Uzbek Akademy, Urgench, Uzbekistan

Filomatjournal2025en

ABI

Annotatsiya

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.

Mavzular

Analytic and geometric function theory Optimization and Variational Analysis Functional Equations Stability Results

Identifikatorlar

DOI: 10.2298/fil2509029s

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