TY - GEN
T1 - Lyapunov-Type Inequality for Fractional Sub-Laplacians
AU - Kassymov, Aidyn
AU - Suragan, Durvudkhan
N1 - Funding Information:
The authors were supported in parts by the MESRK grant AP05130981.
Publisher Copyright:
© 2021, Springer Nature Switzerland AG.
PY - 2021
Y1 - 2021
N2 - In the present paper, we prove the Lyapunov-type inequality for the fractional sub-Laplacian on the homogeneous Lie groups. We give some consequences of the obtained inequality. In addition, we also show the fractional L2 -Hardy inequality for the fractional sub-Laplacian on the half-space.
AB - In the present paper, we prove the Lyapunov-type inequality for the fractional sub-Laplacian on the homogeneous Lie groups. We give some consequences of the obtained inequality. In addition, we also show the fractional L2 -Hardy inequality for the fractional sub-Laplacian on the half-space.
KW - Homogeneous Lie group
KW - Lyapunov-type inequality
KW - Sub-Laplacian
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U2 - 10.1007/978-3-030-69292-6_6
DO - 10.1007/978-3-030-69292-6_6
M3 - Conference contribution
AN - SCOPUS:85112234476
SN - 9783030692919
T3 - Springer Proceedings in Mathematics and Statistics
SP - 91
EP - 103
BT - Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018
A2 - Ashyralyev, Allaberen
A2 - Kalmenov, Tynysbek Sh.
A2 - Ruzhansky, Michael V.
A2 - Ruzhansky, Michael V.
A2 - Sadybekov, Makhmud A.
A2 - Suragan, Durvudkhan
PB - Springer
T2 - 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018
Y2 - 6 September 2018 through 9 September 2018
ER -