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

Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa

dc.contributor.author	Ruzhansky, Michael
dc.contributor.author	Suragan, Durvudkhan
dc.contributor.author	Yessirkegenov, Nurgissa
dc.date.accessioned	2020-10-22T07:51:14Z
dc.date.available	2020-10-22T07:51:14Z
dc.date.issued	2020-06-10
dc.identifier.citation	Ruzhansky, 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/s00233-020-10110-9	en_US
dc.identifier.issn	0037-1912
dc.identifier.uri	https://link.springer.com/article/10.1007/s00233-020-10110-9
dc.identifier.uri	https://doi.org/10.1007/s00233-020-10110-9
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/5024
dc.description.abstract	In 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.language.iso	en	en_US
dc.publisher	Springer	en_US
dc.relation.ispartofseries	Semigroup Forum;101
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	Hardy inequality	en_US
dc.subject	Sobolev inequality	en_US
dc.subject	Euler semigroup	en_US
dc.subject	Homogeneous group	en_US
dc.subject	Research Subject Categories::MATHEMATICS	en_US
dc.title	Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups	en_US
dc.type	Article	en_US
workflow.import.source	science