D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

Abstract The aim of this paper is to introduce new hyperbolic classes of functions, which will be called B∗α, log and F∗ log(p, q, s) classes. Furthermore, we introduce D-metrics space in the hyperbolic type classes B∗α, log and F∗ log(p, q,...

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Autores principales:	Kamal,A., Yassen,T. I.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:	D-metric spaces Logarithmic hyperbolic classes Composition operators
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200215
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spelling	oai:scielo:S0719-064620200002002152020-09-01D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function SpacesKamal,A.Yassen,T. I. D-metric spaces Logarithmic hyperbolic classes Composition operators Abstract The aim of this paper is to introduce new hyperbolic classes of functions, which will be called B∗α, log and F∗ log(p, q, s) classes. Furthermore, we introduce D-metrics space in the hyperbolic type classes B∗α, log and F∗ log(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition operator Cϕ to be bounded and compact from B∗α, log to F∗ log(p, q, s) spaces.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.22 n.2 20202020-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200215en10.4067/S0719-06462020000200215
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	D-metric spaces Logarithmic hyperbolic classes Composition operators
spellingShingle	D-metric spaces Logarithmic hyperbolic classes Composition operators Kamal,A. Yassen,T. I. D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
description	Abstract The aim of this paper is to introduce new hyperbolic classes of functions, which will be called B∗α, log and F∗ log(p, q, s) classes. Furthermore, we introduce D-metrics space in the hyperbolic type classes B∗α, log and F∗ log(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition operator Cϕ to be bounded and compact from B∗α, log to F∗ log(p, q, s) spaces.
author	Kamal,A. Yassen,T. I.
author_facet	Kamal,A. Yassen,T. I.
author_sort	Kamal,A.
title	D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
title_short	D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
title_full	D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
title_fullStr	D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
title_full_unstemmed	D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces
title_sort	d-metric spaces and composition operators between hyperbolic weighted family of function spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000200215
work_keys_str_mv	AT kamala dmetricspacesandcompositionoperatorsbetweenhyperbolicweightedfamilyoffunctionspaces AT yassenti dmetricspacesandcompositionoperatorsbetweenhyperbolicweightedfamilyoffunctionspaces
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D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

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