Operadores de composición en algunos espacios de Hilbert de funciones analíticas

dc.contributor.advisor Romero-Oliveras, Juan Vergara-Díaz, Fabrizzio M. College of Arts and Sciences - Sciences en_US
dc.contributor.committee Salas Olaguer, Hector
dc.contributor.committee Rozga, Krzysztof
dc.contributor.department Department of Mathematics en_US
dc.contributor.representative Zapata Medina, Rocío I. 2018-10-25T13:50:59Z 2018-10-25T13:50:59Z 2017
dc.description.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. en_US
dc.description.graduationYear 2017 en_US
dc.language.iso es en_US
dc.rights.holder (c) 2017 Fabrizzio Miguel Vergara Díaz en_US
dc.rights.license All rights reserved en_US
dc.subject Espacios de Hilbert en_US
dc.subject Hardy en_US
dc.subject.lcsh Hilbert algebras en_US
dc.subject.lcsh Composition operators en_US
dc.subject.lcsh Hardy spaces en_US
dc.title Operadores de composición en algunos espacios de Hilbert de funciones analíticas en_US
dc.type Thesis en_US
dspace.entity.type Publication Pure Mathematics en_US M.S. en_US
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