Статья

A new capacity in the class of sh<sub>m</sub> functions defined by laplace operator

Nurali AkramovNational University of Uzbekistan, Tashkent, UzbekistanKhakimboy EgamberganovNational University of Singapore, Singapore

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2023en

ABI

Аннотация

In this paper, we define a new capacity Δm on the class of shm functions, which is defined by Laplace operator. We prove that Δm-capacity satisfies Choquet’s axioms of measurability. Moreover, we compare our capacity with Sadullaev-Abdullaev capacities. In particular, it implies that Δm-capacity of a set E is zero if and only if E is a m-polar set.

Темы

Analytic and geometric function theory Holomorphic and Operator Theory Aerospace Engineering and Control Systems

Идентификаторы

DOI: 10.56017/2181-1318.1255

Цитирования и источники

Цитирований: 0Использованных источников: 6

Показатели — AkademScholar · Скоро

A new capacity in the class of sh&lt;sub&gt;m&lt;/sub&gt; functions defined by laplace operator

Аннотация

Темы

Идентификаторы

Цитирования и источники

A new capacity in the class of sh<sub>m</sub> functions defined by laplace operator