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

Published 24 Nov 2011 in math.CA | (1111.5738v2)

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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