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arXiv · 1808.08516

On a reverse H\"older inequality for Schr\"odinger operators

Seongyeon Kim·Ihyeok Seo
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Abstract

We obtain a reverse H\"older inequality for the eigenfuctions of the Schr\"odinger operator with slowly decaying potentials. The class of potentials includes singular potentials which decay like $|x|^{-\alpha}$ with $0<\alpha<2$, in particular the Coulomb potential.

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Seongyeon Kim, Ihyeok Seo. 2018-08-26. On a reverse H\"older inequality for Schr\"odinger operators. https://arxiv.org/abs/1808.08516

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