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Evans-Lewis inequalities in dimension three

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arxiv 2305.06580 v2 pith:SFUF7JEZ submitted 2023-05-11 math.CA math.FA

Yi C. Huang , Li Liu This is my paper · ORCID
classification math.CAmath.FA
keywords inequalitiesdimensionevans-lewisthreeapproachcaseclearlycompare
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In proving Rellich inequalities in the framework of equalities, N. Bez, S. Machihara, and T. Ozawa obtained some interesting norm inequalities in the spirit of Evans and Lewis that compare the standard Laplacian with its radial and spherical components. In this paper we give a simple unified proof and a strict improvement of these Evans-Lewis inequalities in the subtle dimension three case. Our approach is robust and explains clearly the occurrence of the sharp constant.

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Cited by 1 Pith paper

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  1. Reframing SAR Target Recognition as Visual Reasoning: A Chain-of-Thought Dataset with Multimodal LLMs

    eess.SP 2025-07 conditional novelty 5.0 of 10

    After up to three re-prompting attempts, GPT-4o correctly classified 98.32% of radar targets from candidate lists, and the paper packages the successful reasoning chains into a new SAR-CoT dataset.

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