
Lyapunov-type inequalities for the fractional p-sub-Laplacian
- Author
- Aidyn Kassymov (UGent) and Durvudkhan Suragan
- Organization
- Abstract
- In this paper we study the fractional Dirichlet p-sub-Laplacian in a Haar measurable set on homogeneous Lie groups. We show analogues of the fractional Sobolev and Hardy inequalities and we also present a Lyapunov-type inequality for the fractional p-sub-Laplacian. As a consequence of the Lyapunov-type inequality we obtain an estimate of the first eigenvalue in a quasi-ball for the Dirichlet fractional p-sub-Laplacian.
- Keywords
- Fractional p-sub-Laplacian, Fractional Sobolev inequality, Fractional Hardy inequality, Lyapunov-type inequality, Homogeneous Lie groups, RELLICH INEQUALITIES, HARDY, SOBOLEV
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8713190
- MLA
- Kassymov, Aidyn, and Durvudkhan Suragan. “Lyapunov-Type Inequalities for the Fractional p-Sub-Laplacian.” ADVANCES IN OPERATOR THEORY, vol. 5, no. 2, 2020, pp. 435–52, doi:10.1007/s43036-019-00037-6.
- APA
- Kassymov, A., & Suragan, D. (2020). Lyapunov-type inequalities for the fractional p-sub-Laplacian. ADVANCES IN OPERATOR THEORY, 5(2), 435–452. https://doi.org/10.1007/s43036-019-00037-6
- Chicago author-date
- Kassymov, Aidyn, and Durvudkhan Suragan. 2020. “Lyapunov-Type Inequalities for the Fractional p-Sub-Laplacian.” ADVANCES IN OPERATOR THEORY 5 (2): 435–52. https://doi.org/10.1007/s43036-019-00037-6.
- Chicago author-date (all authors)
- Kassymov, Aidyn, and Durvudkhan Suragan. 2020. “Lyapunov-Type Inequalities for the Fractional p-Sub-Laplacian.” ADVANCES IN OPERATOR THEORY 5 (2): 435–452. doi:10.1007/s43036-019-00037-6.
- Vancouver
- 1.Kassymov A, Suragan D. Lyapunov-type inequalities for the fractional p-sub-Laplacian. ADVANCES IN OPERATOR THEORY. 2020;5(2):435–52.
- IEEE
- [1]A. Kassymov and D. Suragan, “Lyapunov-type inequalities for the fractional p-sub-Laplacian,” ADVANCES IN OPERATOR THEORY, vol. 5, no. 2, pp. 435–452, 2020.
@article{8713190, abstract = {{In this paper we study the fractional Dirichlet p-sub-Laplacian in a Haar measurable set on homogeneous Lie groups. We show analogues of the fractional Sobolev and Hardy inequalities and we also present a Lyapunov-type inequality for the fractional p-sub-Laplacian. As a consequence of the Lyapunov-type inequality we obtain an estimate of the first eigenvalue in a quasi-ball for the Dirichlet fractional p-sub-Laplacian.}}, author = {{Kassymov, Aidyn and Suragan, Durvudkhan}}, issn = {{2662-2009}}, journal = {{ADVANCES IN OPERATOR THEORY}}, keywords = {{Fractional p-sub-Laplacian,Fractional Sobolev inequality,Fractional Hardy inequality,Lyapunov-type inequality,Homogeneous Lie groups,RELLICH INEQUALITIES,HARDY,SOBOLEV}}, language = {{eng}}, number = {{2}}, pages = {{435--452}}, title = {{Lyapunov-type inequalities for the fractional p-sub-Laplacian}}, url = {{http://doi.org/10.1007/s43036-019-00037-6}}, volume = {{5}}, year = {{2020}}, }
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