TY - JOUR
T1 - Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups
AU - Ruzhansky, Michael
AU - Suragan, Durvudkhan
AU - Yessirkegenov, Nurgissa
N1 - Funding Information:
The authors were supported in parts by the EPSRC Grant EP/R003025/1 and by the Lever-hulme Grant RPG-2017-151, as well as by the MESRK Grant 5127/GF4. The second author was also supported by the Ministry of Science of the Russian Federation (the Agreement No. 02.a03.21.0008). The third author was supported by the MESRK Grant 0825/GF4. No new data was collected or generated during the course of research.
Publisher Copyright:
© 2017, The Author(s).
PY - 2017/10/1
Y1 - 2017/10/1
N2 - In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted Lp-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the L2-case.
AB - In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted Lp-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the L2-case.
KW - Caffarelli–Kohn–Nirenberg inequality
KW - Hardy inequality
KW - Sobolev type inequality
KW - Stratified Lie group
UR - http://www.scopus.com/inward/record.url?scp=85027988806&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85027988806&partnerID=8YFLogxK
U2 - 10.1007/s00030-017-0478-2
DO - 10.1007/s00030-017-0478-2
M3 - Article
AN - SCOPUS:85027988806
SN - 1021-9722
VL - 24
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
IS - 5
M1 - 56
ER -