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An extension problem and Hardy's inequality for the fractional Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type
Journal
Journal of Functional Analysis
ISSN
00221236
Date Issued
2022-05-01
Author(s)
Bhowmik, Mithun
Pusti, Sanjoy
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.
Volume
282
Publication link
Subjects