A converse to the Schwarz lemma for planar harmonic maps

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...

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Detalles Bibliográficos
Autores: Fredrik Brevig, Ole, Ortega Cerdà, Joaquim, Seip, Kristian
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/173610
Acceso en línea:https://hdl.handle.net/2445/173610
Access Level:acceso abierto
Palabra clave:Espais de Hardy
Anàlisi harmònica
Hardy spaces
Harmonic analysis
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spelling A converse to the Schwarz lemma for planar harmonic mapsFredrik Brevig, OleOrtega Cerdà, JoaquimSeip, KristianEspais de HardyAnàlisi harmònicaHardy spacesHarmonic analysisA 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.Elsevier2021202320212021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/173610Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésVersió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2020.124908Journal of Mathematical Analysis and Applications, 2021, vol. 497, num. 2https://doi.org/10.1016/j.jmaa.2020.124908cc-by-nc-nd (c) Elsevier, 2021http://creativecommons.org/licenses/by-nc-nd/3.0/esinfo:eu-repo/semantics/openAccessoai:recercat.cat:2445/1736102026-05-29T05:05:01Z
dc.title.none.fl_str_mv A converse to the Schwarz lemma for planar harmonic maps
title A converse to the Schwarz lemma for planar harmonic maps
spellingShingle A converse to the Schwarz lemma for planar harmonic maps
Fredrik Brevig, Ole
Espais de Hardy
Anàlisi harmònica
Hardy spaces
Harmonic analysis
title_short A converse to the Schwarz lemma for planar harmonic maps
title_full A converse to the Schwarz lemma for planar harmonic maps
title_fullStr A converse to the Schwarz lemma for planar harmonic maps
title_full_unstemmed A converse to the Schwarz lemma for planar harmonic maps
title_sort A converse to the Schwarz lemma for planar harmonic maps
dc.creator.none.fl_str_mv Fredrik Brevig, Ole
Ortega Cerdà, Joaquim
Seip, Kristian
author Fredrik Brevig, Ole
author_facet Fredrik Brevig, Ole
Ortega Cerdà, Joaquim
Seip, Kristian
author_role author
author2 Ortega Cerdà, Joaquim
Seip, Kristian
author2_role author
author
dc.subject.none.fl_str_mv Espais de Hardy
Anàlisi harmònica
Hardy spaces
Harmonic analysis
topic Espais de Hardy
Anàlisi harmònica
Hardy spaces
Harmonic analysis
description 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.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021
2021
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/173610
url https://hdl.handle.net/2445/173610
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 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
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier, 2021
http://creativecommons.org/licenses/by-nc-nd/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier, 2021
http://creativecommons.org/licenses/by-nc-nd/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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