Bhowmik, M and Pusti, S (2022) An extension problem and Hardy's inequality for the fractional Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type. In: Journal of Functional Analysis, 282 (9).
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Official URL: https://doi.org/10.1016/j.jfa.2022.109413
Abstract
In this paper we study an extension problem for the Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type and use the solution to prove Hardy-type inequalities for fractional powers of the Laplace-Beltrami operator. Next, we study the mapping properties of the extension operator. In the last part we prove Poincaré-Sobolev inequalities on these spaces.
| Item Type: | Journal Article |
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| Publication: | Journal of Functional Analysis |
| Publisher: | Academic Press Inc. |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 24 Jun 2022 11:33 |
| Last Modified: | 24 Jun 2022 11:33 |
| URI: | https://eprints.iisc.ac.in/id/eprint/73668 |
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