2019
Том 71
№ 7

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On the Hayman-Wu theorem for quasilines

Maimeskul V. V.

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Abstract

For a function ω, we establish a condition sufficient for the sum ∑i, ω(diam φ(L i )) to be finite for any quasiconformal curve L i , simply connected domain Ω, and a function φ which conformally and univalently maps this domain onto the unit disk. Here, L i denote the components of Ω∩L.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 6, pp 959-964.

Citation Example: Maimeskul V. V. On the Hayman-Wu theorem for quasilines // Ukr. Mat. Zh. - 1996. - 48, № 6. - pp. 852-856.

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