Abstract
We prove qualitatively sharp estimates of the potential kernel for the harmonic oscillator. These bounds are then used to show that the estimates of the associated potential operator obtained recently by Bongioanni and Torrea are in fact sharp.
Citation
Adam Nowak. Krzysztof Stempak. "Sharp estimates of the potential kernel for the harmonic oscillator with applications." Nagoya Math. J. 212 1 - 17, December 2013. https://doi.org/10.1215/00277630-2324129
Information