Show simple item record

dc.contributor.authorSamko, Natasha Gabatsuyevna
dc.date.accessioned2022-08-04T11:47:12Z
dc.date.available2022-08-04T11:47:12Z
dc.date.issued2022-03-17
dc.description.abstractWe prove weighted boundedness of Calderón–Zygmund and maximal singular operators in generalized Morrey spaces on quasi-metric measure spaces, in general non-homogeneous, only under the growth condition on the measure, for a certain class of weights. Weights and characteristic of the spaces are independent of each other. Weighted boundedness of the maximal operator is also proved in the case when lower and upper Ahlfors exponents coincide with each other. Our approach is based on two important steps. The first is a certain transference theorem, where without use homogeneity of the space, we provide a condition which insures that every sublinear operator with the size condition, bounded in Lebesgue space, is also bounded in generalized Morrey space. The second is a reduction theorem which reduces weighted boundedness of the considered sublinear operators to that of weighted Hardy operators and non-weighted boundedness of some special operators.en_US
dc.identifier.citationSamko. Weighted Boundedness of Certain Sublinear Operators in Generalized Morrey Spaces on Quasi-Metric Measure Spaces Under the Growth Condition. Journal of Fourier Analysis and Applications. 2022;28en_US
dc.identifier.cristinIDFRIDAID 2016531
dc.identifier.doi10.1007/s00041-022-09924-8
dc.identifier.issn1069-5869
dc.identifier.issn1531-5851
dc.identifier.urihttps://hdl.handle.net/10037/25949
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.journalJournal of Fourier Analysis and Applications
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2022 The Author(s)en_US
dc.titleWeighted Boundedness of Certain Sublinear Operators in Generalized Morrey Spaces on Quasi-Metric Measure Spaces Under the Growth Conditionen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


File(s) in this item

Thumbnail

This item appears in the following collection(s)

Show simple item record