dc.contributor.author
Gogatishvili, A.
dc.contributor.author
Opic, B.
dc.contributor.author
Tikhonov, S.
dc.contributor.author
Trebels, W.
dc.date.accessioned
2024-06-27T12:38:21Z
dc.date.accessioned
2024-09-19T14:35:40Z
dc.date.available
2024-06-27T12:38:21Z
dc.date.available
2024-09-19T14:35:40Z
dc.date.issued
2024-04-29
dc.identifier.uri
http://hdl.handle.net/2072/537688
dc.description.abstract
The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces. We present a unified approach based on Holmstedt formulas to obtain these estimates. As examples, we derive new inequalities for moduli of smoothness and K-functionals in various Lorentz spaces.
dc.description.sponsorship
The research has been partially supported by by the grant P201-18-00580S of the Grant Agency of the CzechRepublic, PID2020-114948GB-I00, 2021 SGR 00087, the CERCA Programme of the Generalitat deCatalunya, the Ministry of Education and Science of the Republic of Kazakhstan AP14870758, and by theSpanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers andUnits of Excellence in R&D (CEX2020-001084-M). The research of Amiran Gogatishvili was partiallysupported by the grant project 23-04720S of the Czech Science Foundation (GACˇR), The Institute ofMathematics, CAS is supported by RVO:67985840. By Shota Rustaveli National Science Foundation(SRNSF), grant no: FR21-12353
dc.publisher
Springer Science and Business Media Deutschland GmbH
dc.relation.ispartof
Mathematische Zeitschrift
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Moduli of smoothness
dc.subject.other
K-functionals
dc.subject.other
Holmstedt formulas
dc.subject.other
Weighted Lorentz spaces
dc.subject.other
Lorentz–Karamata spaces
dc.title
A unified approach to inequalities for K-functionals and moduli of smoothness
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
10.1007/s00209-024-03484-x
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
