A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm

Autores
Bakherad, Mojtaba; Conde, Cristian Marcelo; Kittaneh, Fuad
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Revista con referato
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Bakherad, Mojtaba. University Of Sistan And Baluchestan; Irán.
Fil: Kittaneh, Fuad. The University Of Jordan; Jordania.
A functional Hilbert space is the Hilbert space ℋ of complex-valued functions on some set such that the evaluation functionals , , are continuous on ℋ. The Berezin number of an operator is defined by , where the operator acts on the reproducing kernel Hilbert space over some (non-empty) set . In this paper, we introduce a new family involving means between the Berezin radius and the Berezin norm. Among other results, it is shown that if and , are two non-negative continuous functions defined on such that , then and where is a mean dominated by the arithmetic mean .
Fuente
Acta Applicandae Mathematicae. Jul. 2024; 192(1): 1-18
Materia
Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
Nivel de accesibilidad
acceso restringido
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/4.0/
Repositorio
Repositorio Institucional UNGS
Institución
Universidad Nacional de General Sarmiento
OAI Identificador
oai:repositorio.ungs.edu.ar:UNGS/2716
Acceder
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/2716
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling A New Family of Semi-Norms Between the Berezin Radius and the Berezin NormBakherad, MojtabaConde, Cristian MarceloKittaneh, FuadReproducing kernelBerezin numberBerezin transformBerezin normMatemáticasMatemática PuraRevista con referatoFil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Bakherad, Mojtaba. University Of Sistan And Baluchestan; Irán.Fil: Kittaneh, Fuad. The University Of Jordan; Jordania.A functional Hilbert space is the Hilbert space ℋ of complex-valued functions on some set such that the evaluation functionals , , are continuous on ℋ. The Berezin number of an operator is defined by , where the operator acts on the reproducing kernel Hilbert space over some (non-empty) set . In this paper, we introduce a new family involving means between the Berezin radius and the Berezin norm. Among other results, it is shown that if and , are two non-negative continuous functions defined on such that , then and where is a mean dominated by the arithmetic mean .Springer2026-01-15T09:56:00Z2026-01-15T09:56:00Z2024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfBakherad, M., Conde, C. M. y Kittaneh, F. (2024). A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm. Acta Applicandae Mathematicae, 192(1), 1-18.0167-8019http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2716Acta Applicandae Mathematicae. Jul. 2024; 192(1): 1-18reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttp://dx.doi.org/10.1007/s10440-024-00667-winfo:eu-repo/semantics/restrictedAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2026-02-26T15:02:55Zoai:repositorio.ungs.edu.ar:UNGS/2716instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2026-02-26 15:02:55.29Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
dc.title.none.fl_str_mv A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
title A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
spellingShingle A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
Bakherad, Mojtaba
Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
title_short A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
title_full A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
title_fullStr A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
title_full_unstemmed A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
title_sort A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
dc.creator.none.fl_str_mv Bakherad, Mojtaba
Conde, Cristian Marcelo
Kittaneh, Fuad
author Bakherad, Mojtaba
author_facet Bakherad, Mojtaba
Conde, Cristian Marcelo
Kittaneh, Fuad
author_role author
author2 Conde, Cristian Marcelo
Kittaneh, Fuad
author2_role author
author
dc.subject.none.fl_str_mv Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
topic Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
dc.description.none.fl_txt_mv Revista con referato
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Bakherad, Mojtaba. University Of Sistan And Baluchestan; Irán.
Fil: Kittaneh, Fuad. The University Of Jordan; Jordania.
A functional Hilbert space is the Hilbert space ℋ of complex-valued functions on some set such that the evaluation functionals , , are continuous on ℋ. The Berezin number of an operator is defined by , where the operator acts on the reproducing kernel Hilbert space over some (non-empty) set . In this paper, we introduce a new family involving means between the Berezin radius and the Berezin norm. Among other results, it is shown that if and , are two non-negative continuous functions defined on such that , then and where is a mean dominated by the arithmetic mean .
description Revista con referato
publishDate 2024
dc.date.none.fl_str_mv 2024
2026-01-15T09:56:00Z
2026-01-15T09:56:00Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv Bakherad, M., Conde, C. M. y Kittaneh, F. (2024). A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm. Acta Applicandae Mathematicae, 192(1), 1-18.
0167-8019
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2716
identifier_str_mv Bakherad, M., Conde, C. M. y Kittaneh, F. (2024). A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm. Acta Applicandae Mathematicae, 192(1), 1-18.
0167-8019
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2716
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.1007/s10440-024-00667-w
dc.rights.none.fl_str_mv info:eu-repo/semantics/restrictedAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv restrictedAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Acta Applicandae Mathematicae. Jul. 2024; 192(1): 1-18
reponame:Repositorio Institucional UNGS
instname:Universidad Nacional de General Sarmiento
reponame_str Repositorio Institucional UNGS
collection Repositorio Institucional UNGS
instname_str Universidad Nacional de General Sarmiento
repository.name.fl_str_mv Repositorio Institucional UNGS - Universidad Nacional de General Sarmiento
repository.mail.fl_str_mv ubyd@campus.ungs.edu.ar
_version_ 1858212514166210560
score 12.665996

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