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dc.contributor.authorSamko, Natasha Gabatsuyevna
dc.date.accessioned2024-09-26T09:56:08Z
dc.date.available2024-09-26T09:56:08Z
dc.date.issued2024-05-30
dc.description.abstractFor a certain class of radial weights, we prove weighted norm estimates for commutators with BMO coefficients of singular operators in local generalized Morrey spaces. As a consequence of these estimates, we obtain norm inequalities for such commutators in the generalized Stummel-Morrey spaces. We also discuss a.e. well-posedness of singular operators and their commutators on weighted generalized Morrey spaces. The obtained estimates are applied to prove interior regularity for solutions of elliptic PDEs in the frameworks of the corresponding weighted Sobolev spaces based on the local generalized Morrey spaces or Stummel-Morrey spaces. To this end also conditions for the applicability of the representation formula, for the second-order derivatives of solutions to elliptic PDEs, are found for the case of such weighted spaces. In both results, for commutators and applications, we admit weights beyond the Muckenhoupt range.en_US
dc.identifier.citationSamko. Weighted estimates of commutators of singular operators in generalized Morrey spaces beyond Muckenhoupt range and applications. Analysis and Mathematical Physics. 2024;14(3)
dc.identifier.cristinIDFRIDAID 2276553
dc.identifier.doi10.1007/s13324-024-00934-x
dc.identifier.issn1664-2368
dc.identifier.issn1664-235X
dc.identifier.urihttps://hdl.handle.net/10037/34891
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.relation.journalAnalysis and Mathematical Physics
dc.rights.holderCopyright 2024 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleWeighted estimates of commutators of singular operators in generalized Morrey spaces beyond Muckenhoupt range and applicationsen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)