Multiply Hölder functions

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In this article we show several properties about multiply Hölder functions. We study the Hölder class of a composition of multiply Hölder functions and prove that a map and its inverse belong — under certain hypotheses — to the same Hölder class. We also prove some extension properties of multiply H...

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Detalles Bibliográficos
Autor: Rosas, Rudy
Formato: artículo
Fecha de Publicación:2024
Institución:Pontificia Universidad Católica del Perú
Repositorio:PUCP-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.pucp.edu.pe:20.500.14657/203387
Enlace del recurso:https://revistas.pucp.edu.pe/index.php/promathematica/article/view/30609/27261
https://hdl.handle.net/20.500.14657/203387
https://doi.org/10.18800/promathematica.202401.001
Nivel de acceso:acceso abierto
Materia:Lipschitz (Hölder) classes
Special properties of functions of several variables
Hölder conditions
https://purl.org/pe-repo/ocde/ford#1.01.00
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spelling Rosas, Rudy2025-03-07T18:36:16Z2024-12-27https://revistas.pucp.edu.pe/index.php/promathematica/article/view/30609/27261https://hdl.handle.net/20.500.14657/203387https://doi.org/10.18800/promathematica.202401.001In this article we show several properties about multiply Hölder functions. We study the Hölder class of a composition of multiply Hölder functions and prove that a map and its inverse belong — under certain hypotheses — to the same Hölder class. We also prove some extension properties of multiply Hölder functions; for example, we show that a multiply Hölder functions always extends, in the same Hölder class, to “exceptional” sets that are codimension one manifolds.application/pdfengPontificia Universidad Católica del PerúPEurn:issn:2305-2430urn:issn:1012-3938info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0Pro Mathematica; Vol. 33 Núm. 65 (2024)reponame:PUCP-Institucionalinstname:Pontificia Universidad Católica del Perúinstacron:PUCPLipschitz (Hölder) classesSpecial properties of functions of several variablesHölder conditionshttps://purl.org/pe-repo/ocde/ford#1.01.00Multiply Hölder functionsinfo:eu-repo/semantics/articleArtículo20.500.14657/203387oai:repositorio.pucp.edu.pe:20.500.14657/2033872025-03-07 13:36:16.742http://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessmetadata.onlyhttps://repositorio.pucp.edu.peRepositorio Institucional de la PUCPrepositorio@pucp.pe
dc.title.en_US.fl_str_mv Multiply Hölder functions
title Multiply Hölder functions
spellingShingle Multiply Hölder functions
Rosas, Rudy
Lipschitz (Hölder) classes
Special properties of functions of several variables
Hölder conditions
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short Multiply Hölder functions
title_full Multiply Hölder functions
title_fullStr Multiply Hölder functions
title_full_unstemmed Multiply Hölder functions
title_sort Multiply Hölder functions
author Rosas, Rudy
author_facet Rosas, Rudy
author_role author
dc.contributor.author.fl_str_mv Rosas, Rudy
dc.subject.en_US.fl_str_mv Lipschitz (Hölder) classes
Special properties of functions of several variables
Hölder conditions
topic Lipschitz (Hölder) classes
Special properties of functions of several variables
Hölder conditions
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description In this article we show several properties about multiply Hölder functions. We study the Hölder class of a composition of multiply Hölder functions and prove that a map and its inverse belong — under certain hypotheses — to the same Hölder class. We also prove some extension properties of multiply Hölder functions; for example, we show that a multiply Hölder functions always extends, in the same Hölder class, to “exceptional” sets that are codimension one manifolds.
publishDate 2024
dc.date.accessioned.none.fl_str_mv 2025-03-07T18:36:16Z
dc.date.issued.fl_str_mv 2024-12-27
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.other.none.fl_str_mv Artículo
format article
dc.identifier.uri.none.fl_str_mv https://revistas.pucp.edu.pe/index.php/promathematica/article/view/30609/27261
https://hdl.handle.net/20.500.14657/203387
dc.identifier.doi.none.fl_str_mv https://doi.org/10.18800/promathematica.202401.001
url https://revistas.pucp.edu.pe/index.php/promathematica/article/view/30609/27261
https://hdl.handle.net/20.500.14657/203387
https://doi.org/10.18800/promathematica.202401.001
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv urn:issn:2305-2430
urn:issn:1012-3938
dc.rights.es_ES.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.none.fl_str_mv http://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.es_ES.fl_str_mv Pontificia Universidad Católica del Perú
dc.publisher.country.none.fl_str_mv PE
dc.source.es_ES.fl_str_mv Pro Mathematica; Vol. 33 Núm. 65 (2024)
dc.source.none.fl_str_mv reponame:PUCP-Institucional
instname:Pontificia Universidad Católica del Perú
instacron:PUCP
instname_str Pontificia Universidad Católica del Perú
instacron_str PUCP
institution PUCP
reponame_str PUCP-Institucional
collection PUCP-Institucional
repository.name.fl_str_mv Repositorio Institucional de la PUCP
repository.mail.fl_str_mv repositorio@pucp.pe
_version_ 1835638711236165632
score 13.889224
Multiply Hölder functions
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