On a minimisation problem related to the solenoidal uncertainty
Classical Analysis and ODEs
2025-04-22 v1
Abstract
We study Hamamoto's expanding square argument towards a 1-D minimisation problem related to the sharp solenoidal uncertainty principle. Working in the right function space, we recast the involved interpolation type inequality into an exact equality, where the vanishing of the remainder term characterises the extremisers via the confluent hypergeometric functions. In the process we also remove some unnecessary constraints on the prescribed parameters.
Keywords
Cite
@article{arxiv.2504.14176,
title = {On a minimisation problem related to the solenoidal uncertainty},
author = {Yi C. Huang and Tohru Ozawa and Xinhang Tong},
journal= {arXiv preprint arXiv:2504.14176},
year = {2025}
}
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Submitted to a journal on December 26, 2024