Sharp estimates of the potential kernel for the harmonic oscillator with applications
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🧮 math.CA
keywords
estimatespotentialsharpharmonickerneloscillatorapplicationsassociated
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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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