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

Revista con referato

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Autores principales: Bakherad, Mojtaba, Conde, Cristian Marcelo, Kittaneh, Fuad
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Springer 2026
Materias:
Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2716
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Repositorio Institucional Digital de Acceso Abierto (UNGS) de Universidad Nacional de General Sarmiento
id I71-R177-UNGS-2716
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spelling I71-R177-UNGS-27162026-01-15T09:57:27Z A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm Bakherad, Mojtaba Conde, Cristian Marcelo Kittaneh, Fuad Reproducing kernel Berezin number Berezin transform Berezin norm Matemáticas Matemática Pura 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 . 2026-01-15T09:56:00Z 2026-01-15T09:56:00Z 2024 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion 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 eng http://dx.doi.org/10.1007/s10440-024-00667-w info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Springer Acta Applicandae Mathematicae. Jul. 2024; 192(1): 1-18
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
spellingShingle Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
Bakherad, Mojtaba
Conde, Cristian Marcelo
Kittaneh, Fuad
A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
topic_facet Reproducing kernel
Berezin number
Berezin transform
Berezin norm
Matemáticas
Matemática Pura
description Revista con referato
format Artículo
Artículo
publishedVersion
author Bakherad, Mojtaba
Conde, Cristian Marcelo
Kittaneh, Fuad
author_facet Bakherad, Mojtaba
Conde, Cristian Marcelo
Kittaneh, Fuad
author_sort Bakherad, Mojtaba
title A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
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 new family of semi-norms between the berezin radius and the berezin norm
publisher Springer
publishDate 2026
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2716
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