Uma estimativa do tipo L1 para potencial de Riesz

In this work we will present a L1-type estimates for the Riesz potentials envolving the Riesz transform. This estimate is an improvement of result due to Stein and Weiss the result of Stein and Weiss that provides Riesz potentials is bounded in Hardy space. Such estimate was proved by Armin Schikorr...

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Detalhes bibliográficos
Autor: Hoshijima, Raphael Shoji
Formato: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Recursos:Universidade Federal de São Carlos (UFSCAR)
Repositorio:Repositório Institucional da UFSCAR
Idioma:portugués
OAI Identifier:oai:repositorio.ufscar.br:20.500.14289/11873
Acesso em linha:https://repositorio.ufscar.br/handle/20.500.14289/11873
Access Level:acceso abierto
Palavra-chave:Potencial de Riesz
Transformada de Riesz
Estimativa L1
Riesz Potentials
Riesz Transform
L1estimate
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ANALISE
Descrição
Resumo:In this work we will present a L1-type estimates for the Riesz potentials envolving the Riesz transform. This estimate is an improvement of result due to Stein and Weiss the result of Stein and Weiss that provides Riesz potentials is bounded in Hardy space. Such estimate was proved by Armin Schikorra, Daniel Spector and Jean Van Schaftingen in the paper “An L1-type estimate for Riesz potentials”, published in the Revista Matemática Iberoamericana in 2016.