dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. EDP - Grup d'Equacions en Derivades Parcials
dc.contributor.author
Ben Said, Achraf
dc.contributor.author
Boza Rocho, Santiago
dc.contributor.author
Soria de Diego, Francisco Javier
dc.date.accessioned
2026-03-06T02:17:35Z
dc.date.available
2026-03-06T02:17:35Z
dc.date.issued
2025-11-18
dc.identifier
Ben Said, A.; Boza, S.; Soria, F. The norm of Hardy-Type oscillation operators in the discrete and continuous settings. «Analysis and applications», 18 Novembre 2025, p. 1-25.
dc.identifier
https://hdl.handle.net/2117/456457
dc.identifier
10.1142/S0219530526500168
dc.identifier.uri
https://hdl.handle.net/2117/456457
dc.description.abstract
Recently, several authors have considered the problem of determining optimal norm inequalities for Hardy-type operators. In this work, we continue this study and obtain sharp bounds for the norm of the difference of the Cesàro operator with the identity when it acts on the cone of non-negative sequences in l p . This operator controls the oscillation of the sequence with respect to its average. Also, we get optimal constants for the difference of the Copson operator with the identity when restricted to the cones of non-negative or decreasing sequences in l p , as well as best constants for the adjoint of the classical Hardy operator minus identity when restricted to the cones of non-negative or decreasing functions in L p ( R + ).
dc.description.abstract
The author was partially supported by grant PID2020-113048GB-I00, funded by MCIN/AEI/10.13039/501100011033, and by grant 2021SGR 00087.
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.relation
https://doi.org/10.1142/S0219530526500168
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113048GB-I00/ES/ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS/
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Cesàro operator
dc.subject
Copson operator
dc.subject
Hardy operator minus identity
dc.subject
Optimal constants
dc.title
The norm of Hardy-Type oscillation operators in the discrete and continuous settings
