Extremal quasiconformality vs bounded rational approximation-Reference-Cited by-同舟云学术

Extremal quasiconformality vs bounded rational approximation

Published:2019-06-24 Issue:2 Volume:16 Page:181-199
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Krushkal Samuel¹

Affiliation:

1. Department of Mathematics, Bar-Ilan University, Israel; Department of Mathematics, University of Virginia, Charlottesville, USA

Abstract

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 quasiconformality.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Reference26 articles.

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