ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE

Let X and Y be complex Banach spaces and B X resp. B Y the closed unit ball. Analytic maps <img border=0 width=18 height=29 id="_x0000_i1058" src="http:/fbpe/img/cubo/v15n2/art04-01.jpg">: B Y <img border=0 width=29 height=24 id="_x0000_i1057" src="http:/f...

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Autor principal:	Wolf,Elke
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	weighted composition operators weighted spaces of holomorphic functions on the unit ball of a complex Banach space
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200004
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spelling	oai:scielo:S0719-064620130002000042018-10-08ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACEWolf,Elke weighted composition operators weighted spaces of holomorphic functions on the unit ball of a complex Banach space Let X and Y be complex Banach spaces and B X resp. B Y the closed unit ball. Analytic maps <img border=0 width=18 height=29 id="_x0000_i1058" src="http:/fbpe/img/cubo/v15n2/art04-01.jpg">: B Y <img border=0 width=29 height=24 id="_x0000_i1057" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg">B X and <img border=0 width=20 height=24 id="_x0000_i1056" src="http:/fbpe/img/cubo/v15n2/art04-03.jpg">: B X<img border=0 width=29 height=24 id="_x0000_i1055" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg"> <img border=0 width=23 height=27 id="_x0000_i1054" src="http:/fbpe/img/cubo/v15n2/art04-04.jpg">induce the weighted composition operator: C <img border=0 width=18 height=29 id="_x0000_i1053" src="http:/fbpe/img/cubo/v15n2/art04-01.jpg">, <img border=0 width=20 height=24 id="_x0000_i1052" src="http:/fbpe/img/cubo/v15n2/art04-03.jpg">: H (B Y)<img border=0 width=29 height=24 id="_x0000_i1051" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg"> H (Bx), f <img border=0 width=23 height=19 id="_x0000_i1050" src="http:/fbpe/img/cubo/v15n2/art04-05.jpg"><img border=0 width=20 height=24 id="_x0000_i1049" src="http:/fbpe/img/cubo/v15n2/art04-03.jpg">(f o <img border=0 width=18 height=29 id="_x0000_i1048" src="http:/fbpe/img/cubo/v15n2/art04-01.jpg">), where H (B Y) resp. H (Bx) denotes the collection of all analytic functions f : Bx (resp. B Y) <img border=0 width=29 height=24 id="_x0000_i1047" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg"><img border=0 width=23 height=27 id="_x0000_i1046" src="http:/fbpe/img/cubo/v15n2/art04-04.jpg">. We study when such operators acting between weighted spaces of analytic functions are isometric.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.2 20132013-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200004en10.4067/S0719-06462013000200004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	weighted composition operators weighted spaces of holomorphic functions on the unit ball of a complex Banach space
spellingShingle	weighted composition operators weighted spaces of holomorphic functions on the unit ball of a complex Banach space Wolf,Elke ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE
description	Let X and Y be complex Banach spaces and B X resp. B Y the closed unit ball. Analytic maps <img border=0 width=18 height=29 id="_x0000_i1058" src="http:/fbpe/img/cubo/v15n2/art04-01.jpg">: B Y <img border=0 width=29 height=24 id="_x0000_i1057" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg">B X and <img border=0 width=20 height=24 id="_x0000_i1056" src="http:/fbpe/img/cubo/v15n2/art04-03.jpg">: B X<img border=0 width=29 height=24 id="_x0000_i1055" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg"> <img border=0 width=23 height=27 id="_x0000_i1054" src="http:/fbpe/img/cubo/v15n2/art04-04.jpg">induce the weighted composition operator: C <img border=0 width=18 height=29 id="_x0000_i1053" src="http:/fbpe/img/cubo/v15n2/art04-01.jpg">, <img border=0 width=20 height=24 id="_x0000_i1052" src="http:/fbpe/img/cubo/v15n2/art04-03.jpg">: H (B Y)<img border=0 width=29 height=24 id="_x0000_i1051" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg"> H (Bx), f <img border=0 width=23 height=19 id="_x0000_i1050" src="http:/fbpe/img/cubo/v15n2/art04-05.jpg"><img border=0 width=20 height=24 id="_x0000_i1049" src="http:/fbpe/img/cubo/v15n2/art04-03.jpg">(f o <img border=0 width=18 height=29 id="_x0000_i1048" src="http:/fbpe/img/cubo/v15n2/art04-01.jpg">), where H (B Y) resp. H (Bx) denotes the collection of all analytic functions f : Bx (resp. B Y) <img border=0 width=29 height=24 id="_x0000_i1047" src="http:/fbpe/img/cubo/v15n2/art04-02.jpg"><img border=0 width=23 height=27 id="_x0000_i1046" src="http:/fbpe/img/cubo/v15n2/art04-04.jpg">. We study when such operators acting between weighted spaces of analytic functions are isometric.
author	Wolf,Elke
author_facet	Wolf,Elke
author_sort	Wolf,Elke
title	ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE
title_short	ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE
title_full	ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE
title_fullStr	ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE
title_full_unstemmed	ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE
title_sort	isometric weighted composition operators on weighted banach spaces of holomorphic functions defined on the unit ball of a complex banach space
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200004
work_keys_str_mv	AT wolfelke isometricweightedcompositionoperatorsonweightedbanachspacesofholomorphicfunctionsdefinedontheunitballofacomplexbanachspace
_version_	1714206783277367296

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE

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