Sharp Adams Type Inequalities for the Fractional Laplace�Beltrami Operator on Noncompact Symmetric Spaces

Bhowmik, M (2024) Sharp Adams Type Inequalities for the Fractional Laplace�Beltrami Operator on Noncompact Symmetric Spaces. In: Springer, 34 (7).

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Abstract

We establish sharp Adams type inequalities on Sobolev spaces Wα,n/α(X) of any fractional order α<n on Riemannian symmetric space X of noncompact type with dimension n and of arbitrary rank. We also establish sharp Hardy�Adams inequalities on the Sobolev spaces Wn/2,2(X). We use Fourier analysis on the symmetric spaces to obtain these results. © Mathematica Josephina, Inc. 2024.

Item Type:	Journal Article
Publication:	Springer
Publisher:	Springer
Additional Information:	The copyright for this article belongs to author.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	29 May 2024 06:00
Last Modified:	29 May 2024 06:00
URI:	https://eprints.iisc.ac.in/id/eprint/85006

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