Equivalence of Haar Bases Associated with Different Dyadic Systems

Aimar, Hugo Alejandro; Bernardis, Ana Lucia; Nowak, Luis Maria Ricardo

info:eu-repo/semantics/article

Fecha

2011-04

Registro en:

Aimar, Hugo Alejandro; Bernardis, Ana Lucia; Nowak, Luis Maria Ricardo; Equivalence of Haar Bases Associated with Different Dyadic Systems; Springer; The Journal Of Geometric Analysis; 21; 2; 4-2011; 288-304

1050-6926

http://hdl.handle.net/11336/110280

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4315600

Autor

Aimar, Hugo Alejandro

Bernardis, Ana Lucia

Nowak, Luis Maria Ricardo

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

HAAR BASIS

EQUIVALENCE OF BASES

SPACE OF HOMOGENEOUS TYPE

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