Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces

Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces

Using certain maximal analytic functions, we obtain new characterizations of the continuity and compactness of the weighted composition operators when acts between Korenblum spaces, α-Bloch spaces and when acts from certain weighted Banach spaces of analytic functions with a logarithmic we...

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Autores principales: Antón Marval,Gabriel M, Castillo,René E, Ramos-Fernández,Julio C
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
Materias:
Weighted Banach spaces of analytic functions
Bloch space
weighted composition operators
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100003
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spelling oai:scielo:S0719-064620170001000032018-10-08Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spacesAntón Marval,Gabriel MCastillo,René ERamos-Fernández,Julio C Weighted Banach spaces of analytic functions Bloch space weighted composition operators Using certain maximal analytic functions, we obtain new characterizations of the continuity and compactness of the weighted composition operators when acts between Korenblum spaces, α-Bloch spaces and when acts from certain weighted Banach spaces of analytic functions with a logarithmic weight into α-Bloch spaces. As consequence of our results, we obtain a new characterization of the continuity and compactness of composition operators acting betweenα-Zygmund spaces.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.19 n.1 20172017-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100003en10.4067/S0719-06462017000100003
institution Scielo Chile
collection Scielo Chile
language English
topic Weighted Banach spaces of analytic functions
Bloch space
weighted composition operators
spellingShingle Weighted Banach spaces of analytic functions
Bloch space
weighted composition operators
Antón Marval,Gabriel M
Castillo,René E
Ramos-Fernández,Julio C
Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
description Using certain maximal analytic functions, we obtain new characterizations of the continuity and compactness of the weighted composition operators when acts between Korenblum spaces, α-Bloch spaces and when acts from certain weighted Banach spaces of analytic functions with a logarithmic weight into α-Bloch spaces. As consequence of our results, we obtain a new characterization of the continuity and compactness of composition operators acting betweenα-Zygmund spaces.
author Antón Marval,Gabriel M
Castillo,René E
Ramos-Fernández,Julio C
author_facet Antón Marval,Gabriel M
Castillo,René E
Ramos-Fernández,Julio C
author_sort Antón Marval,Gabriel M
title Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
title_short Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
title_full Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
title_fullStr Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
title_full_unstemmed Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces
title_sort maximal functions and properties of the weighted composition operators acting on the korenblum, α-bloch and α-zygmund spaces
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000100003
work_keys_str_mv AT antonmarvalgabrielm maximalfunctionsandpropertiesoftheweightedcompositionoperatorsactingonthekorenblumalphablochandalphazygmundspaces
AT castillorenee maximalfunctionsandpropertiesoftheweightedcompositionoperatorsactingonthekorenblumalphablochandalphazygmundspaces
AT ramosfernandezjulioc maximalfunctionsandpropertiesoftheweightedcompositionoperatorsactingonthekorenblumalphablochandalphazygmundspaces
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