@article{ff9a7a0ed03d4841ad59a3da37a7cbcd,
title = "Hardy type inequalities in generalized grand Lebesgue spaces",
abstract = "In the present paper, we discuss generalized grand Lebesgue spaces on homogeneous Lie groups. We prove Hardy type inequalities in the context of the considered spaces. We also present Hardy–Rellich and Hardy–Sobolev type inequalities extending some recently obtained results.",
keywords = "Generalized grand Lebesgue space, Hardy inequality, Homogeneous group, Sharp constant",
author = "Restrepo, {Joel E.} and Durvudkhan Suragan",
note = "Funding Information: This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09057887). The authors were also supported by the Nazarbayev University Program 091019CRP2120. No new data was collected or generated during the course of this research. Publisher Copyright: {\textcopyright} 2021, Tusi Mathematical Research Group (TMRG). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = apr,
doi = "10.1007/s43036-020-00127-w",
language = "English",
volume = "6",
journal = "Advances in Operator Theory",
issn = "2538-225X",
publisher = "Tusi Mathematical Research Group (TMRG)",
number = "2",
}