A converse to the Schwarz lemma for planar harmonic maps

Publication date

2021-02-03T09:04:50Z

2023-01-06T06:10:22Z

2021-01-06

2021-02-03T09:04:51Z

Abstract

A sharp version of a recent inequality of Kovalev and Yang on the ratio of the $(H^1)^\ast$ and $H^4$ norms for certain polynomials is obtained. The inequality is applied to establish a sharp and tractable sufficient condition for the Wirtinger derivatives at the origin for harmonic self-maps of the unit disc which fix the origin.

Document Type

Article


Accepted version

Language

English

Publisher

Elsevier

Related items

Versió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2020.124908

Journal of Mathematical Analysis and Applications, 2021, vol. 497, num. 2

https://doi.org/10.1016/j.jmaa.2020.124908

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Rights

cc-by-nc-nd (c) Elsevier, 2021

http://creativecommons.org/licenses/by-nc-nd/3.0/es

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