Pointwise and Weighted Hessian Estimates for Kolmogorov-Fokker-Planck type operators

Autor: Ghosh, Abhishek, Tewary, Vivek
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv