Pointwise and weighted Hessian estimates for Kolmogorov–Fokker–Planck-type operators

被引：0
|
作者：
Abhishek Ghosh
Vivek Tewary
机构：
[1] Centre for Applicable Mathematics,Tata Institute of Fundamental Research
[2] Polish Academy of Sciences,Institute of Mathematics
[3] Krea University,School of Interwoven Arts and Sciences
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2024年 / 203卷 / 2期
关键词：
Kolmogorov–Fokker–Planck  operators; Generalized Orlicz space; Weights; 35K65; 35K70; 35B45; 46E30;
D O I：
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摘要：
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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页码：663 / 701
页数：38
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