Width of the Gakhov class over the Dirichlet space is equal to 2
- Авторлар: Kazantsev A.1
-
Мекемелер:
- Institute of Computational Mathematics and Information Technologies, Department of Mathematical Statistics
- Шығарылым: Том 37, № 4 (2016)
- Беттер: 449-454
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198078
- DOI: https://doi.org/10.1134/S1995080216040120
- ID: 198078
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
A. Kazantsev
Institute of Computational Mathematics and Information Technologies, Department of Mathematical Statistics
Хат алмасуға жауапты Автор.
Email: kazandrey0363@rambler.ru
Ресей, Kremlevskaya ul. 35, Kazan, Tatarstan, 420008