A converse to the Schwarz lemma for planar harmonic maps

Brevig, Ole Fredrik; Ortega-Cerdà, Joaquim; Seip, Kristian
Peer reviewed, Journal article
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URI
https://hdl.handle.net/11250/2722488
Date
2021
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Original version
10.1016/j.jmaa.2020.124908
Abstract
A sharp version of a recent inequality of Kovalev and Yang on the ratio of the (H1)∗ and H4 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.
Publisher
Elsevier
Journal
Journal of Mathematical Analysis and Applications
Navngivelse 4.0 Internasjonal
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