Lp-HARDY{RELLICH AND UNCERTAINTY PRINCIPLEINEQUALITIES ON THE SPHERE

Abolarinwa, Abimbola and Apata, Timothy (2018) Lp-HARDY{RELLICH AND UNCERTAINTY PRINCIPLEINEQUALITIES ON THE SPHERE. Adv. Oper. Theory, 3 (4). pp. 745-762. ISSN 2538-225X

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Abstract

In this paper, we study the Hardy{Rellich type inequalities and uncertainty principle on the geodesic sphere. Firstly, we derive Lp-Hardy in-equalities via divergence theorem, which are in turn used to establish the Lp-Rellich inequalities. We also establish Heisenberg uncertainty principle on the sphere via the Hardy{Rellich type inequalities. The best constants appearing in the inequalities are shown to be sharp.

Item Type: Article
Subjects: Q Science > QC Physics
Depositing User: Mr DIGITAL CONTENT CREATOR LMU
Date Deposited: 27 May 2019 09:06
Last Modified: 27 May 2019 09:06
URI: https://eprints.lmu.edu.ng/id/eprint/2167

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