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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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
Publication:	PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
Publisher:	SPRINGER INDIA
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
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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