Про степеневу оцінку площі образу круга
DOI:
https://doi.org/10.37069/3154-8229-2026-40-5Ключові слова:
модуль сім'ї кривих, \(Q\)-гомеоморфізм, кільцевий \(Q\)-гомеоморфізм, скінченне середнє \(l\)-коливанняАнотація
У роботі досліджуються кільцеві \(Q\)-гомеоморфізми у комплексній площині. За умови, що функція \(Q\) має скінченне середнє \(l\)-коливання в точці, отримано верхні оцінки для площі образу круга, а також встановлено асимптотичні оцінки степеневого порядку зростання кільцевих \(Q\)-гомеоморфізмів у термінах нижніх границь.
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