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arXiv · 1111.5738

Sharp estimates of the potential kernel for the harmonic oscillator with applications

Adam Nowak·Krzysztof Stempak
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Abstract

We prove qualitatively sharp estimates of the potential kernel for the harmonic oscillator. These bounds are then used to show that the $L^p-L^q$ estimates of the associated potential operator obtained recently by Bongioanni and Torrea are in fact sharp.

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Adam Nowak, Krzysztof Stempak. 2011-11-24. Sharp estimates of the potential kernel for the harmonic oscillator with applications. https://doi.org/10.1215/00277630-2324129

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