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Some Remarks on Integral Operators in Banach Function Spaces and Representation Theorems in Banach-Sobolev Spaces

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dc.contributor.authorMamedov, E. M.
dc.contributor.authorNasibova, N. P.
dc.contributor.authorSezer, Y.
dc.date.accessioned2026-06-27T15:01:34Z
dc.date.issued2024
dc.description.abstractIn this paper, we consider convolution operators, integral operators with weak singularity, Riesz potentials, in particular, those with kernels K i (x, x, y ) = xi-yi i -y i |x-y|n n acting in special classes of Banach function spaces X (ohm) and their subspaces X s (ohm)), and we prove some representation theorems for the functions from Banach-Sobolev spaces. We also prove the boundedness of Riesz potential in additive-invariant spaces.en
dc.description.sponsorshipAzerbaijan Science Foundation-Grant [AEF-MCG-2023-1 (43) -13/05/1-M-05, AEF-MQM-QA-1-2021-4 (41)-8/02/1-M-02]
dc.description.urihttps://doi.org/10.59849/2218-6816.2024.2.189
dc.identifier.doi10.59849/2218-6816.2024.2.189
dc.identifier.endpage204
dc.identifier.issn2218-6816
dc.identifier.issue2
dc.identifier.startpage189
dc.identifier.urihttps://hdl.handle.net/20.500.14981/67292
dc.identifier.volume14
dc.identifier.wos001301610100014
dc.language.isoeng
dc.publisherINST MATH & MECHANICS AZERBAIJAN
dc.relation.ispartofAZERBAIJAN JOURNAL OF MATHEMATICS
dc.rightsopenAccess
dc.subjectBanach function space
dc.subjectrearrangement-invariant space
dc.subjectadditive-invariant
dc.subjectSobolev space
dc.subjectintegral operator
dc.subjectweak singularity
dc.subjectRiesz potential
dc.subjectMathematics
dc.titleSome Remarks on Integral Operators in Banach Function Spaces and Representation Theorems in Banach-Sobolev Spaces
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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