Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy

Detalhes bibliográficos
Autor(a) principal: Vasconcelos Filho, Claudio Henrique Machado
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/19562
Resumo: The purpose of this work is to study the Hardy spaces Hp(Rn) on euclidean spaces and your localized version, known as hp(Rn). As an application of this theory, we are going to show that Calderón-Zygmund and pseudo-differential operators are bounded in Hp(Rn) and hp(Rn), respectively.
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spelling Vasconcelos Filho, Claudio Henrique MachadoPicon, Tiago Henriquehttp://lattes.cnpq.br/7853908129934448http://lattes.cnpq.br/80819885991945332024-02-29T17:25:24Z2024-02-29T17:25:24Z2018-03-09VASCONCELOS FILHO, Claudio Henrique Machado. Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy. 2018. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/19562.https://repositorio.ufscar.br/handle/ufscar/19562The purpose of this work is to study the Hardy spaces Hp(Rn) on euclidean spaces and your localized version, known as hp(Rn). As an application of this theory, we are going to show that Calderón-Zygmund and pseudo-differential operators are bounded in Hp(Rn) and hp(Rn), respectively.O objetivo deste trabalho é estudar os espaços de Hardy no espaço euclidiano, denotados por Hp(Rn), e sua versão localizável hp(Rn). Como aplicações, mostraremos que operadores de Calderón-Zygmund e pseudo-diferenciais são limitados em Hp(Rn) e hp(Rn), respectivamente.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)porUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessOperadores de Calderón-ZygmundEspaços de HardyOperadores pseudo-diferenciaisAnálise harmônicaCalderón-Zygmund operatorsHardy spacesPseudodifferential operatorsHarmonic analysisCIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISEOperadores de Calderón-Zygmund, pseudo-diferenciais e espaços de HardyCalderón-Zygmund, pseudodifferential operators and Hardy spacesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnlinereponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissertacao_claudio_vasconcelos.pdfDissertacao_claudio_vasconcelos.pdfapplication/pdf2001667https://repositorio.ufscar.br/bitstream/ufscar/19562/1/Dissertacao_claudio_vasconcelos.pdf15a8279ce8e396436c03cf88475494fdMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/19562/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8810https://repositorio.ufscar.br/bitstream/ufscar/19562/3/license_rdff337d95da1fce0a22c77480e5e9a7aecMD53TEXTDissertacao_claudio_vasconcelos.pdf.txtDissertacao_claudio_vasconcelos.pdf.txtExtracted texttext/plain171630https://repositorio.ufscar.br/bitstream/ufscar/19562/4/Dissertacao_claudio_vasconcelos.pdf.txt618231046be3ffc5fc76057cbc02b61aMD54ufscar/195622024-05-14 17:31:28.466oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222024-05-14T17:31:28Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
dc.title.alternative.eng.fl_str_mv Calderón-Zygmund, pseudodifferential operators and Hardy spaces
title Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
spellingShingle Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
Vasconcelos Filho, Claudio Henrique Machado
Operadores de Calderón-Zygmund
Espaços de Hardy
Operadores pseudo-diferenciais
Análise harmônica
Calderón-Zygmund operators
Hardy spaces
Pseudodifferential operators
Harmonic analysis
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
title_short Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
title_full Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
title_fullStr Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
title_full_unstemmed Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
title_sort Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
author Vasconcelos Filho, Claudio Henrique Machado
author_facet Vasconcelos Filho, Claudio Henrique Machado
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/8081988599194533
dc.contributor.author.fl_str_mv Vasconcelos Filho, Claudio Henrique Machado
dc.contributor.advisor1.fl_str_mv Picon, Tiago Henrique
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/7853908129934448
contributor_str_mv Picon, Tiago Henrique
dc.subject.por.fl_str_mv Operadores de Calderón-Zygmund
Espaços de Hardy
Operadores pseudo-diferenciais
Análise harmônica
topic Operadores de Calderón-Zygmund
Espaços de Hardy
Operadores pseudo-diferenciais
Análise harmônica
Calderón-Zygmund operators
Hardy spaces
Pseudodifferential operators
Harmonic analysis
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
dc.subject.eng.fl_str_mv Calderón-Zygmund operators
Hardy spaces
Pseudodifferential operators
Harmonic analysis
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
description The purpose of this work is to study the Hardy spaces Hp(Rn) on euclidean spaces and your localized version, known as hp(Rn). As an application of this theory, we are going to show that Calderón-Zygmund and pseudo-differential operators are bounded in Hp(Rn) and hp(Rn), respectively.
publishDate 2018
dc.date.issued.fl_str_mv 2018-03-09
dc.date.accessioned.fl_str_mv 2024-02-29T17:25:24Z
dc.date.available.fl_str_mv 2024-02-29T17:25:24Z
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 VASCONCELOS FILHO, Claudio Henrique Machado. Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy. 2018. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/19562.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/19562
identifier_str_mv VASCONCELOS FILHO, Claudio Henrique Machado. Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy. 2018. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2018. Disponível em: https://repositorio.ufscar.br/handle/ufscar/19562.
url https://repositorio.ufscar.br/handle/ufscar/19562
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language por
dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivs 3.0 Brazil
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info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 3.0 Brazil
http://creativecommons.org/licenses/by-nc-nd/3.0/br/
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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
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