Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)

Detalhes bibliográficos
Autor(a) principal: Elias, Thaysa Fernanda
Data de Publicação: 2018
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/10178
Resumo: In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. Both characterization was proved by Piotr Hajlasz in the paper "A new characterization of the Sobolev spaces" published in the journal Studia Mathematica in 2003.
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spelling Elias, Thaysa FernandaPicon, Tiago Henriquehttp://lattes.cnpq.br/7853908129934448http://lattes.cnpq.br/3548604476984039c5fda602-fc83-48aa-88b8-2350327391e52018-06-18T17:49:25Z2018-06-18T17:49:25Z2018-04-06ELIAS, Thaysa Fernanda. Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n). 2018. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10178.https://repositorio.ufscar.br/handle/ufscar/10178In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. Both characterization was proved by Piotr Hajlasz in the paper "A new characterization of the Sobolev spaces" published in the journal Studia Mathematica in 2003.Nessa dissertação apresentaremos uma nova caracterização (pontual) para o espaço de Sobolev W^{1,1}(R^n) e uma nova demonstração da caracterização de W^{1,p}(R^n) para 1<p < \infty, em termos da desigualdade de Poincaré. Ambas as caracterizações foram estabelecidas por Piotr Hajlasz no paper "A new characterization of the Sobolev spaces" publicado no jornal Studia Mathematica em 2003.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)porUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarFunção Maximal de Hardy-LittlewoodEspaços de SobolevDesigualdades de PoincaréCaracterização pontual dos Espaços de SobolevHardy-littlewood maximal functionsSobolev spacesInequality of PoincaréPointwise characterization of the Sobolev SpaceCIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISEUma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)A new characterization of Sobolev Spaces W^{1,p}(R^n)info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline600600995e99c7-5745-442c-a24d-371d918d48e9info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALMestrado.pdfMestrado.pdfapplication/pdf679639https://repositorio.ufscar.br/bitstream/ufscar/10178/3/Mestrado.pdf85458eb1b84c4f7d9ef287f6ca104191MD5321 thaysa.pdf21 thaysa.pdfapplication/pdf846260https://repositorio.ufscar.br/bitstream/ufscar/10178/4/21%20thaysa.pdfd4c2977d640262cbec3bb7c418abad8cMD54LICENSElicense.txtlicense.txttext/plain; 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dc.title.por.fl_str_mv Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
dc.title.alternative.eng.fl_str_mv A new characterization of Sobolev Spaces W^{1,p}(R^n)
title Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
spellingShingle Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
Elias, Thaysa Fernanda
Função Maximal de Hardy-Littlewood
Espaços de Sobolev
Desigualdades de Poincaré
Caracterização pontual dos Espaços de Sobolev
Hardy-littlewood maximal functions
Sobolev spaces
Inequality of Poincaré
Pointwise characterization of the Sobolev Space
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
title_short Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
title_full Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
title_fullStr Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
title_full_unstemmed Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
title_sort Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
author Elias, Thaysa Fernanda
author_facet Elias, Thaysa Fernanda
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/3548604476984039
dc.contributor.author.fl_str_mv Elias, Thaysa Fernanda
dc.contributor.advisor1.fl_str_mv Picon, Tiago Henrique
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/7853908129934448
dc.contributor.authorID.fl_str_mv c5fda602-fc83-48aa-88b8-2350327391e5
contributor_str_mv Picon, Tiago Henrique
dc.subject.por.fl_str_mv Função Maximal de Hardy-Littlewood
Espaços de Sobolev
Desigualdades de Poincaré
Caracterização pontual dos Espaços de Sobolev
topic Função Maximal de Hardy-Littlewood
Espaços de Sobolev
Desigualdades de Poincaré
Caracterização pontual dos Espaços de Sobolev
Hardy-littlewood maximal functions
Sobolev spaces
Inequality of Poincaré
Pointwise characterization of the Sobolev Space
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
dc.subject.eng.fl_str_mv Hardy-littlewood maximal functions
Sobolev spaces
Inequality of Poincaré
Pointwise characterization of the Sobolev Space
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
description In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. Both characterization was proved by Piotr Hajlasz in the paper "A new characterization of the Sobolev spaces" published in the journal Studia Mathematica in 2003.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-06-18T17:49:25Z
dc.date.available.fl_str_mv 2018-06-18T17:49:25Z
dc.date.issued.fl_str_mv 2018-04-06
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv ELIAS, Thaysa Fernanda. Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n). 2018. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10178.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/10178
identifier_str_mv ELIAS, Thaysa Fernanda. Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n). 2018. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/10178.
url https://repositorio.ufscar.br/handle/ufscar/10178
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language por
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600
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática - PPGM
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFSCAR
instname:Universidade Federal de São Carlos (UFSCAR)
instacron:UFSCAR
instname_str Universidade Federal de São Carlos (UFSCAR)
instacron_str UFSCAR
institution UFSCAR
reponame_str Repositório Institucional da UFSCAR
collection Repositório Institucional da UFSCAR
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