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Proyecciones (Antofagasta)

versão impressa ISSN 0716-0917

Proyecciones (Antofagasta) vol.31 no.1 Antofagasta mar. 2012

http://dx.doi.org/10.4067/S0716-09172012000100001 

Proyecciones Journal of Mathematics Vol. 31, No 1, pp. 1-9, March 2012. Universidad Catolica del Norte Antofagasta - Chile

Compact Composition Operators on Bloch type Spaces

René Erlín Castillo

Universidad Nacional de Colombia, Colombia

Julio C. Ramos Fernández

Universidad de Oriente, Venezuela

 


ABSTRACT

In this paper we characterize continuity and compactness of composition operators Cø; mapping the á-Bloch space into the μ-Bloch space, where μ is a weight defined on the unit disk D, in term of certain expression that involve the n-power of the symbol ø.

Keywords : Bloch spaces, Composition operators.

MSC 2010 : 30D45, 47B33.

 


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Rene Erlin Castillo

Departamento de Matemáticas Universidad Nacional de Colombia, Ciudad Universitaria : Carrera 30, Calle 45, Bogotá, Colombia

e-mail : recastillo@unal.edu.co and

Julio C. Ramos Fernandez

Departamento de Matemática Universidad de Oriente 6101 Cumanáa Edo. Sucre, Republica Bolivariana de Venezuela e-mail : jcramos@udo.edu.ve

Received : July 2011. Accepted : October 2011

*Partially supported by the Comision de Investigacion, Universidad de Oriente, Project CI-2-010301-1678-10.