Composition operators in hyperbolic general Besov-type spaces

In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F*(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators <img src="http:/fbpe/im...

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Autores principales:	El-Sayed Ahmed,A, Bakhit,M. A
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	Hyperbolic classes composition operators Lipschitz continuous α-Bloch space F*(p, q, s) class
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300003
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spelling	oai:scielo:S0719-064620130003000032018-10-08Composition operators in hyperbolic general Besov-type spacesEl-Sayed Ahmed,ABakhit,M. A Hyperbolic classes composition operators Lipschitz continuous α-Bloch space F(p, q, s) class In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators <img src="http:/fbpe/img/cubo/v15n3/art03-fig5.jpg" name="_x0000_i1038" width=26 height=24 border=0 id="_x0000_i1038">acting from the hyperbolic α-Bloch class to the class F*(p, q, s) are characterized by conditions depending on an analytic self-map <img src="http:/fbpe/img/cubo/v15n3/art03-fig6.jpg" name="_x0000_i1037" width=18 height=26 border=0 id="_x0000_i1037">: D<img src="http:/fbpe/img/cubo/v15n3/art03-fig1.jpg" name="_x0000_i1036" width=25 height=16 border=0 id="_x0000_i1036"> D.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.3 20132013-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300003en10.4067/S0719-06462013000300003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Hyperbolic classes composition operators Lipschitz continuous α-Bloch space F*(p, q, s) class
spellingShingle	Hyperbolic classes composition operators Lipschitz continuous α-Bloch space F*(p, q, s) class El-Sayed Ahmed,A Bakhit,M. A Composition operators in hyperbolic general Besov-type spaces
description	In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators <img src="http:/fbpe/img/cubo/v15n3/art03-fig5.jpg" name="_x0000_i1038" width=26 height=24 border=0 id="_x0000_i1038">acting from the hyperbolic α-Bloch class to the class F(p, q, s) are characterized by conditions depending on an analytic self-map <img src="http:/fbpe/img/cubo/v15n3/art03-fig6.jpg" name="_x0000_i1037" width=18 height=26 border=0 id="_x0000_i1037">: D<img src="http:/fbpe/img/cubo/v15n3/art03-fig1.jpg" name="_x0000_i1036" width=25 height=16 border=0 id="_x0000_i1036"> D.
author	El-Sayed Ahmed,A Bakhit,M. A
author_facet	El-Sayed Ahmed,A Bakhit,M. A
author_sort	El-Sayed Ahmed,A
title	Composition operators in hyperbolic general Besov-type spaces
title_short	Composition operators in hyperbolic general Besov-type spaces
title_full	Composition operators in hyperbolic general Besov-type spaces
title_fullStr	Composition operators in hyperbolic general Besov-type spaces
title_full_unstemmed	Composition operators in hyperbolic general Besov-type spaces
title_sort	composition operators in hyperbolic general besov-type spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000300003
work_keys_str_mv	AT elsayedahmeda compositionoperatorsinhyperbolicgeneralbesovtypespaces AT bakhitma compositionoperatorsinhyperbolicgeneralbesovtypespaces
_version_	1714206785015906304

Composition operators in hyperbolic general Besov-type spaces

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