Publication:
Operadores de composición en algunos espacios de Hilbert de funciones analíticas
Operadores de composición en algunos espacios de Hilbert de funciones analíticas
Authors
Vergara-Díaz, Fabrizzio M.
Embargoed Until
Advisor
Romero-Oliveras, Juan
College
College of Arts and Sciences - Sciences
Department
Department of Mathematics
Degree Level
M.S.
Publisher
Date
2017
Abstract
The operators of composition were studied by Carl Cowen, Barbara Maccluer [2] 1995 and Joel Shapiro [3] 1993. The operators of composition C' have the virtue that their properties are intimately related with the behavior of '. this allows the use classic results of the theory of analytic functions as well us contemporary results. In the work done, basic notions of the operator of composition are studied the main
Hilbert space study is de Hardy space. It is seen how the composition operators act in this space. the conditions of compacity, like the condition of Hilbert Schmidt, the theory of weak convergence, the theory of univalent compacity, the relationship between the compacity, the univalence and the geometry of the automorphism of the disk D in which the theory of Julia Caratheodory and the theorem of Denjoy-Wol
are studied. Finally, additional observations are made like the relationship between the Dirichlet spaces, the Hardy spaces and the Bergman spaces.
Keywords
Espacios de Hilbert,
Hardy
Hardy
Usage Rights
Persistent URL
Cite
Vergara-Díaz, F. M. (2017). Operadores de composición en algunos espacios de Hilbert de funciones analíticas [Thesis]. Retrieved from https://hdl.handle.net/20.500.11801/1073