Enviar artigo por via de e-mail Width of the Gakhov class over the Dirichlet space is equal to 2
- Autores: Kazantsev A.1
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Afiliações:
- Institute of Computational Mathematics and Information Technologies, Department of Mathematical Statistics
- Edição: Volume 37, Nº 4 (2016)
- Páginas: 449-454
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198078
- DOI: https://doi.org/10.1134/S1995080216040120
- ID: 198078
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Resumo
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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Sobre autores
A. Kazantsev
Institute of Computational Mathematics and Information Technologies, Department of Mathematical Statistics
Autor responsável pela correspondência
Email: kazandrey0363@rambler.ru
Rússia, Kremlevskaya ul. 35, Kazan, Tatarstan, 420008
