A converse to the Schwarz lemma for planar harmonic maps

dc.contributor.author
Fredrik Brevig, Ole
dc.contributor.author
Ortega Cerdà, Joaquim
dc.contributor.author
Seip, Kristian
dc.date.issued
2021-02-03T09:04:50Z
dc.date.issued
2023-01-06T06:10:22Z
dc.date.issued
2021-01-06
dc.date.issued
2021-02-03T09:04:51Z
dc.identifier
0022-247X
dc.identifier
https://hdl.handle.net/2445/173610
dc.identifier
705447
dc.description.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.
dc.format
application/pdf
dc.language
eng
dc.publisher
Elsevier
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2020.124908
dc.relation
Journal of Mathematical Analysis and Applications, 2021, vol. 497, num. 2
dc.relation
https://doi.org/10.1016/j.jmaa.2020.124908
dc.rights
cc-by-nc-nd (c) Elsevier, 2021
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Espais de Hardy
dc.subject
Anàlisi harmònica
dc.subject
Hardy spaces
dc.subject
Harmonic analysis
dc.title
A converse to the Schwarz lemma for planar harmonic maps
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


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