Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy
Autor(a) principal: | |
---|---|
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. |
id |
SCAR_1f945da9a418a9998ea8f406043b3d3d |
---|---|
oai_identifier_str |
oai:repositorio.ufscar.br:ufscar/19562 |
network_acronym_str |
SCAR |
network_name_str |
Repositório Institucional da UFSCAR |
repository_id_str |
4322 |
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 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.rights.driver.fl_str_mv |
Attribution-NonCommercial-NoDerivs 3.0 Brazil http://creativecommons.org/licenses/by-nc-nd/3.0/br/ 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/ |
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 |
bitstream.url.fl_str_mv |
https://repositorio.ufscar.br/bitstream/ufscar/19562/1/Dissertacao_claudio_vasconcelos.pdf https://repositorio.ufscar.br/bitstream/ufscar/19562/2/license.txt https://repositorio.ufscar.br/bitstream/ufscar/19562/3/license_rdf https://repositorio.ufscar.br/bitstream/ufscar/19562/4/Dissertacao_claudio_vasconcelos.pdf.txt |
bitstream.checksum.fl_str_mv |
15a8279ce8e396436c03cf88475494fd ae0398b6f8b235e40ad82cba6c50031d f337d95da1fce0a22c77480e5e9a7aec 618231046be3ffc5fc76057cbc02b61a |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR) |
repository.mail.fl_str_mv |
|
_version_ |
1813715589816909824 |