Proyecciones Journal of Mathematics Vol. 31, N^o 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

 

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ABSTRACT

In this paper we characterize continuity and compactness of composition operators C_ø; 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.