Equivalence of Haar Bases Associated with Different Dyadic Systems

In this note we give sufficient conditions on two dyadic systemson a space of homogeneous type in order to obtain the equivalence of corre-sponding Haar systems on Lebesgue spaces. The main tool is the vector valuedFe erman-Stein inequality for the Hardy-Littlewood maximal operator.

Detalhes bibliográficos
Autores: Aimar, Hugo Alejandro, Bernardis, Ana Lucia, Nowak, Luis Maria Ricardo
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2011
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/110280
Acesso em linha:http://hdl.handle.net/11336/110280
Access Level:Acceso aberto
Palavra-chave:HAAR BASIS
EQUIVALENCE OF BASES
SPACE OF HOMOGENEOUS TYPE
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:In this note we give sufficient conditions on two dyadic systemson a space of homogeneous type in order to obtain the equivalence of corre-sponding Haar systems on Lebesgue spaces. The main tool is the vector valuedFe erman-Stein inequality for the Hardy-Littlewood maximal operator.