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Hardy's inequality for the fractional powers of the Grushin operator

Balhara, Rakesh (2019) Hardy's inequality for the fractional powers of the Grushin operator. In: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 129 (3).

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Official URL: https://doi.org/10.1007/s12044-019-0471-2

Abstract

We prove Hardy's inequality for the fractional powers of the generalized subLaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers of the generalized subLaplacian.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to SPRINGER INDIA.
Keywords: Fractional Grushin operator; fractional generalized subLaplacian; Hardy's inequality; ground state representation; Hecke-Bochner formula
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Ms Ranganayaki RS
Date Deposited: 20 May 2019 12:24
Last Modified: 20 May 2019 12:24
URI: http://eprints.iisc.ac.in/id/eprint/62567

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