Width of the Gakhov class over the Dirichlet space is equal to 2


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详细

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: fF = 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.

作者简介

A. Kazantsev

Institute of Computational Mathematics and Information Technologies, Department of Mathematical Statistics

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Email: kazandrey0363@rambler.ru
俄罗斯联邦, Kremlevskaya ul. 35, Kazan, Tatarstan, 420008


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