Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups

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dc.contributor.authorAidyn Kassymov;
dc.contributor.authorMichael Ruzhansky;
dc.contributor.authorDurvudkhan Suragan
dc.date.accessioned2025-08-08T06:53:27Z
dc.date.available2025-08-08T06:53:27Z
dc.date.issued2019
dc.description.abstractIn this note, we prove the Stein–Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous norms play a key role in our proofs. Also, we give a simple proof of the Hardy–Littlewood–Sobolev inequality on general homogeneous Lie groups.
dc.identifier.citationKassymov, A., Ruzhansky, M., & Suragan, D. (2019). Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions, 30(8), 643–655. https://doi.org/10.1080/10652469.2019.1597080
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/9151
dc.language.isoen
dc.subjectRiesz potential
dc.subjectHardy–Littlewood–Sobolev inequality
dc.subjectStein–Weiss inequality
dc.subjectfractional operator
dc.subjectfractional integral
dc.subjecthomogeneous Lie group
dc.titleHardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups
dc.typeArticle

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