Отправить статью по E-mail Width of the Gakhov class over the Dirichlet space is equal to 2
- Авторы: Kazantsev A.1
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Учреждения:
- Institute of Computational Mathematics and Information Technologies, Department of Mathematical Statistics
- Выпуск: Том 37, № 4 (2016)
- Страницы: 449-454
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198078
- DOI: https://doi.org/10.1134/S1995080216040120
- ID: 198078
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Аннотация
Gakhov class G is formed by the holomorphic and locally univalent functions in the unit disk with no more than unique critical point of the conformal radius. Let D be the classical Dirichlet space, and let P: f ↦ F = f″/f′. We prove that the radius of the maximal ball in P(G)∩D with the center at F = 0 is equal to 2.
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Об авторах
A. Kazantsev
Institute of Computational Mathematics and Information Technologies, Department of Mathematical Statistics
Автор, ответственный за переписку.
Email: kazandrey0363@rambler.ru
Россия, Kremlevskaya ul. 35, Kazan, Tatarstan, 420008
