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Pointwise and Weighted Hessian Estimates for Kolmogorov-Fokker-Planck type operators (2205.15069v1)
Published 30 May 2022 in math.AP
Abstract: 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.
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