Extremal quasiconformality vs bounded rational approximation

We show that, on most of the hyperbolic simply connected domains, the weighty bounded rational approximation in a natural sup norm is possible only for a very sparse set of holomorphic functions (in contrast to the integral approximation). The obstructions are caused by the features of extremal quas...

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Bibliographic Details
Published in:Український математичний вісник
Date:2019
Main Author: Krushkal, S.L.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/169439
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Extremal quasiconformality vs bounded rational approximation / S.L. Krushkal // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 181-199. — Бібліогр.: 26 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine