Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups

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dc.contributor.authorRuzhansky, Michael
dc.contributor.authorSuragan, Durvudkhan
dc.contributor.authorYessirkegenov, Nurgissa
dc.date.accessioned2020-10-22T07:51:14Z
dc.date.available2020-10-22T07:51:14Z
dc.date.issued2020-06-10
dc.description.abstractIn this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, the sharp remainder terms of the Sobolev type inequality, maximal Hardy inequality and |⋅|-radial weighted Hardy–Sobolev type inequality are established.en_US
dc.identifier.citationRuzhansky, M., Suragan, D., & Yessirkegenov, N. (2020). Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups. Semigroup Forum, 101(1), 162–191. https://doi.org/10.1007/s00233-020-10110-9en_US
dc.identifier.issn0037-1912
dc.identifier.urihttps://link.springer.com/article/10.1007/s00233-020-10110-9
dc.identifier.urihttps://doi.org/10.1007/s00233-020-10110-9
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/5024
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofseriesSemigroup Forum;101
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectHardy inequalityen_US
dc.subjectSobolev inequalityen_US
dc.subjectEuler semigroupen_US
dc.subjectHomogeneous groupen_US
dc.subjectResearch Subject Categories::MATHEMATICSen_US
dc.titleEuler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groupsen_US
dc.typeArticleen_US
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