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

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

2011-11-24

arxiv.org/abs/1111.5738v1

Mathematics

Classical Analysis and ODEs

10 pages, 1 figure

Scientific paper

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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