A converse to the Schwarz lemma for planar harmonic maps
Peer reviewed, Journal article
Published version
Åpne
Permanent lenke
https://hdl.handle.net/11250/2722488Utgivelsesdato
2021Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2529]
- Publikasjoner fra CRIStin - NTNU [38634]
Originalversjon
10.1016/j.jmaa.2020.124908Sammendrag
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.