谐振子势核的精确估计及其应用
Sharp estimates of the potential kernel for the harmonic oscillator with applications
摘要:
我们证明了谐振子的潜在核的定性尖锐的估计。这些界限,然后使用表明,$L^p-L^q$估计的相关的潜在运营商最近获得的Bongioanni和Torrea实际上是尖锐的。
英文摘要:
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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