Yu. V. Dymchenko, V. A. Shlyk, “Capacities of generalized condensers with $A_1$-Muckenhoupt weight”, Сиб. электрон. матем. изв., 2022, том 19, выпуск 1,страницы 164

Вещественный, комплексный и и функциональный анализ

Capacities of generalized condensers with $A_1$-Muckenhoupt weight

Yu. V. Dymchenko^abc, V. A. Shlyk^dc

^a Maritime State University, 50a, Verkhneportovaya str., Vladivostok, 690059, Russia
^b Institute of Applied Mathematics, Vladivostok Branch of the RAS 7, Radio str., Vladivostok, 690041, Russia
^c Far Eastern Federal University, Far Eastern Center for Research and Education in Mathematics, 10, Ajax Bay, Vladivostok, 690922, Russia
^d Vladivostok Branch of Russian Customs Academy, 16v, Strelkovaya str., Vladivostok, 690034, Russia

Аннотация: We prove the relations (related to $A_1$-Muckenhoupt weight) between two capacities of a generalized condenser and the moduli of vector measures on the curve configuration.

Ключевые слова: capacity of condenser, Muckenhoupt weight, modulus of vector measures.

УДК: 517.51

MSC: 46E35, 31C45

Поступила 23 августа 2021 г., опубликована 11 марта 2022 г.

Язык публикации: английский

DOI: 10.33048/semi.2022.19.014