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Proyecciones (Antofagasta)

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Proyecciones (Antofagasta) vol.33 no.1 Antofagasta Mar. 2014 


Hardy-Type Spaces and its Dual


René Erlín Castillo
Universidad Nacional de Colombia, Colombia

Julio C. Ramos Fernández and Eduard Trousselot
Universidad de Oriente, Venezuela


In this paper we defined a new Hardy-type spaces using atoms on homogeneous spaces which we call H φ,q. Also we prove that under certain conditions BMO φ(p) is the dual of H φ,q.

Keywords : BMO, Dual space, Hardy space, Space of homogeneous type.

Subjclass [2010] : 32A37; 43A85.



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René Erlín Castillo
Departamento de Matemáticas, Universidad Nacional de Colombia
AP360354 Bogotá e-mail :

Julio C. Ramos Fernández
Departamento de Matemáticas, Universidad de Oriente 6101 Cumanáa, Edo. Sucre, Venezuela
e-mail :

Eduard Trousselot
Departamento de Matemaáticas, Universidad de Oriente 6101 Cumaná, Edo. Sucre, Venezuela
e-mail :

Received : August 2012. Accepted : October 2013.

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