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

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dc.creator Bakherad, Mojtaba
dc.creator Conde, Cristian Marcelo
dc.creator Kittaneh, Fuad
dc.date.accessioned 2026-01-15T09:56:00Z
dc.date.available 2026-01-15T09:56:00Z
dc.date.issued 2024
dc.identifier.citation 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.
dc.identifier.issn 0167-8019
dc.identifier.uri http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2716
dc.description Revista con referato
dc.description Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
dc.description Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
dc.description Fil: Bakherad, Mojtaba. University Of Sistan And Baluchestan; Irán.
dc.description Fil: Kittaneh, Fuad. The University Of Jordan; Jordania.
dc.description.abstract 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 .
dc.format application/pdf
dc.language eng
dc.publisher Springer
dc.relation http://dx.doi.org/10.1007/s10440-024-00667-w
dc.rights info:eu-repo/semantics/restrictedAccess
dc.rights https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source Acta Applicandae Mathematicae. Jul. 2024; 192(1): 1-18
dc.subject Reproducing kernel
dc.subject Berezin number
dc.subject Berezin transform
dc.subject Berezin norm
dc.subject.classification Matemáticas
dc.subject.classification Matemática Pura
dc.title A New Family of Semi-Norms Between the Berezin Radius and the Berezin Norm
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion


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