Inequalities for partial moduli of continuity and partial derivatives

We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo-Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives be...

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Detalles Bibliográficos
Autores: Kolyada, V.I., Lázaro, F.J.P. [0000-0001-5354-8940]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc699eb750603269e81e7c
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc699eb750603269e81e7c
Access Level:acceso abierto
Palabra clave:Besov norms
Embeddings
Gagliardo-Nirenberg type inequalities
Moduli of continuity
Rearrangements
Sobolev spaces
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spelling Inequalities for partial moduli of continuity and partial derivativesKolyada, V.I.Lázaro, F.J.P. [0000-0001-5354-8940]Besov normsEmbeddingsGagliardo-Nirenberg type inequalitiesModuli of continuityRearrangementsSobolev spacesWe obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo-Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives belong to different spaces, including the space L 1. © 2010 Springer Science+Business Media, LLC.2010info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc699eb750603269e81e7creponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/S00365-010-9088-5info:eu-repo/semantics/altIdentifier/wos/WOS:000290805700002info:eu-repo/semantics/altIdentifier/pissn/0176-4276Inequalities for partial moduli of continuity and partial derivatives, 2010, vol. 34, núm. 1, pág. 23-59info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc699eb750603269e81e7c2026-06-14T12:47:17Z
dc.title.none.fl_str_mv Inequalities for partial moduli of continuity and partial derivatives
title Inequalities for partial moduli of continuity and partial derivatives
spellingShingle Inequalities for partial moduli of continuity and partial derivatives
Kolyada, V.I.
Besov norms
Embeddings
Gagliardo-Nirenberg type inequalities
Moduli of continuity
Rearrangements
Sobolev spaces
title_short Inequalities for partial moduli of continuity and partial derivatives
title_full Inequalities for partial moduli of continuity and partial derivatives
title_fullStr Inequalities for partial moduli of continuity and partial derivatives
title_full_unstemmed Inequalities for partial moduli of continuity and partial derivatives
title_sort Inequalities for partial moduli of continuity and partial derivatives
dc.creator.none.fl_str_mv Kolyada, V.I.
Lázaro, F.J.P. [0000-0001-5354-8940]
author Kolyada, V.I.
author_facet Kolyada, V.I.
Lázaro, F.J.P. [0000-0001-5354-8940]
author_role author
author2 Lázaro, F.J.P. [0000-0001-5354-8940]
author2_role author
dc.subject.none.fl_str_mv Besov norms
Embeddings
Gagliardo-Nirenberg type inequalities
Moduli of continuity
Rearrangements
Sobolev spaces
topic Besov norms
Embeddings
Gagliardo-Nirenberg type inequalities
Moduli of continuity
Rearrangements
Sobolev spaces
description We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo-Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives belong to different spaces, including the space L 1. © 2010 Springer Science+Business Media, LLC.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc699eb750603269e81e7c
url https://investigacion.unirioja.es/documentos/5bbc699eb750603269e81e7c
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/S00365-010-9088-5
info:eu-repo/semantics/altIdentifier/wos/WOS:000290805700002
info:eu-repo/semantics/altIdentifier/pissn/0176-4276
Inequalities for partial moduli of continuity and partial derivatives, 2010, vol. 34, núm. 1, pág. 23-59
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja
instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
repository.name.fl_str_mv
repository.mail.fl_str_mv
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