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An extension problem and trace hardy inequality for the sub-laplacian on H-type groups

Roncal, L and Thangavelu, S (2018) An extension problem and trace hardy inequality for the sub-laplacian on H-type groups. In: International Mathematics Research Notices, 2020 (14). pp. 4238-4294.

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Official URL: https://doi.org/10.1093/IMRN/RNY137

Abstract

In this paper we study the extension problem for the sub-Laplacian on an H-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sub-Laplacian.

Item Type: Journal Article
Publication: International Mathematics Research Notices
Publisher: Oxford University Press
Additional Information: The Copyright of this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 18 Jul 2022 10:01
Last Modified: 18 Jul 2022 10:01
URI: https://eprints.iisc.ac.in/id/eprint/74654

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