A converse to the Schwarz lemma for planar harmonic maps

dc.contributor.author	Brevig, Ole Fredrik
dc.contributor.author	Ortega-Cerdà, Joaquim
dc.contributor.author	Seip, Kristian
dc.date.accessioned	2021-01-12T09:37:02Z
dc.date.available	2021-01-12T09:37:02Z
dc.date.created	2021-01-11T17:56:28Z
dc.date.issued	2021
dc.identifier.issn	0022-247X
dc.identifier.uri	https://hdl.handle.net/11250/2722488
dc.description.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.	en_US
dc.language.iso	eng	en_US
dc.publisher	Elsevier	en_US
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.title	A converse to the Schwarz lemma for planar harmonic maps	en_US
dc.type	Peer reviewed	en_US
dc.type	Journal article	en_US
dc.description.version	publishedVersion	en_US
dc.source.volume	497	en_US
dc.source.journal	Journal of Mathematical Analysis and Applications	en_US
dc.source.issue	2	en_US
dc.identifier.doi	10.1016/j.jmaa.2020.124908
dc.identifier.cristin	1869337
dc.relation.project	Norges forskningsråd: 275113	en_US
dc.description.localcode	© 2020 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).	en_US
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1

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