论文标题
Kolmogorov-Fokker-Planck类型操作员的角度和加权的Hessian估计
Pointwise and Weighted Hessian Estimates for Kolmogorov-Fokker-Planck type operators
论文作者
论文摘要
在本文中，我们以几个Banach函数空间中的非差异形式获得了Kolmogorov-Fokker-Planck运营商的Hessian估计。我们的方法依赖于表示公式和谐波分析中新开发的稀疏支配技术。当限制加权勒布斯格空间时，我们的结果对kolmogorov-fokker-Planck运营商产生了急剧的定量Hessian估计。
In this article, we obtain hessian estimates for Kolmogorov-Fokker-Planck operators in non-divergence form in several Banach function spaces. Our approach relies on a representation formula and newly developed sparse domination techniques in Harmonic Analysis. Our result when restricted to weighted Lebesgue spaces yields sharp quantitative hessian estimates for the Kolmogorov-Fokker-Planck operators.
