论文标题
尖锐的$ l^p $ - $ l^q $估计与扭曲的laplacian相关的光谱投影
Sharp $L^p$-$L^q$ estimate for the spectral projection associated with the twisted Laplacian
论文作者
论文摘要
在本说明中，我们关注的是光谱投影运算符$ \ MATHCAL {P}_μ$与扭曲的Laplacian $ L $相关的估计。我们完全表征了从$ l^p $到$ l^q $ $ \ MATHCAL {p}_μ$的运算符规范的最佳界限，当时$ 1 \ le p \ le p \ le 2 \ le q \ le q \ le \ le \ infty $。作为申请，我们获得了$ L $的统一解析估计。
In this note we are concerned with estimates for the spectral projection operator $\mathcal{P}_μ$ associated with the twisted Laplacian $L$. We completely characterize the optimal bounds on the operator norm of $\mathcal{P}_μ$ from $L^p$ to $L^q$ when $1\le p\le 2\le q\le \infty$. As an application, we obtain uniform resolvent estimate for $L$.
